look at the right triangle below!what is the length of the side AC? berapa panjang AC?
1. look at the right triangle below!what is the length of the side AC? berapa panjang AC?
Jawaban:
4√6
Penjelasan dengan langkah-langkah:
First,you must know the trigonometrybsics:
[tex] \sin( \alpha ) = \frac{o}{h} \\ \cos( \alpha ) = \frac{a}{h} \\ \tan( \alpha ) = \frac{o}{a} [/tex]
or simply SOH CAH TOA and the special angles (you can find the table in the internet)
Now,sinceyou know the adjacent (BD)of the lefttriangle,you can find the height (AD)using tan of Bwhich js60°
[tex] \tan(60) = \frac{ad}{4} = \sqrt{3} [/tex]
This leaves us with AD =4√3
Thenwe can substitute it into the sin of C
[tex] \sin(45) = \frac{4 \sqrt{3} }{ac} = \frac{ \sqrt{2} }{2} [/tex]
Then,you can operate this by cross multiplyingand get the final answer,which is AC =4√6
2. What is the area of the right triangle shown below
ANSWER:
60.
Penjelasanya :
(theorema phytagoras) a=[tex]\sqrt{b^{2} -c^{2} }[/tex]
a= 17[tex]\sqrt{17^{2}-8^{2} } = \sqrt{289-64}[/tex]
a=[tex]\sqrt{225} =[/tex]15
(the area of the right triangle) :
1/2 x a x h
1/2 x 8 x 15
= 60
ur welcome:)
3. What is the area of the triangle shown below
a = 5
b = 5
c = 8
Keliling
= a + b + c
= 5 + 5 + 8
= 18
s = 1/2 x keliling
s = 1/2 x 18
s = 9
Luas
= √(s(s - a)(s - b)(s - c))
= √(9(9 - 5)(9 - 5)(9 - 8))
= √(9 x 4 x 4 x 1)
= √144
= 12 satuan luas
4. a wooden board is shaped right angled triangle of which the length of the right angle is 13 cm and40 cm. the area of the wooden board is
Jawab:
260 cm²
Penjelasan dengan langkah-langkah:
sisi saling tegak lurus siku2 berarti alas dan tinggi
maka L = 1/2*a*t
=1/2 *13 cm * 40 cm
= 1/2 * 520 cm²
=260 cm²
maaf kalau salah
no copas
5. The perimeter of triangle is 140cm. the sum of the lenghts of two sides equals the length of the third side. twice the length of the shortest leg is 10 cm. less than the length of longeet leg.find the length of sides of the triangle
The length of sides of the triangle are 30 cm, 40 cm, and 70 cm.
DiscussionA triangle consists of 3 sides and 3 angles.
The perimeter is the distance around the edge of a triangle which can be counted by adding up the length of all leg.
The 3 angles always add to 180°.
==================================================
Given :
Perimeter = p = 140 cm
The sum of the length of two sides equals the length of the third side.
Twice the length of the shortest leg is 10 cm less than the length of longest leg
Question :
Find the length of sides of the triangle!
Answer :
Let a, b, and c be the sides of the triangle.
p = a + b + c
The sum of the length of two sides equals the length of the third side => a + b = c
p = a + b + c
140 cm = a + b + c
140 cm = c + c
2c = 140 cm
c = 140 cm : 2
c = 70 cm
Because c is the sum of the other sides, it means that c is the longest leg of the triangle.
let a b the shortest leg of the triangle.
Twice the length of the shortest leg is 10 cm. less than the length of longeet leg => 2c = c - 10 cm
2a = c - 10 cm
2a = 70 - 10 cm
2a = 60 cm
a = 60 cm : 2
a = 30 cm
a + b = c
30 cm + b = 70 cm
b = 70 cm - 30 cm
b = 40 cm.
Learn more :Finding the area and perimeter of a triangle :
brainly.co.id/tugas/1504015
brainly.co.id/tugas/13973281
brainly.co.id/tugas/13999314
Detail of Answer :Grade : 7 (JHS)
Subject : Mathematics
Chapter : Triangle and Rectangle
Categorization : 7.2.4
Keywords : triangle, leg, side, perimeter, length.
6. a wooden board is shaped right angled triangle of which the length of the right angle is 13 cm and40 cm. the area of the wooden board is
Jawab:
13*40:2
13*20
=260 m²
semoga membantu
Jawab:
260 cm²
Penjelasan dengan langkah-langkah:
sisi saling tegak lurus siku2 berarti alas dan tinggi
maka L = 1/2*a*t
=1/2 *13 cm * 40 cm
= 1/2 * 520 cm²
=260 cm²
maaf kalau salah
no copas
7. Length of right triangle is (x+2)cm (3x)cm and (4x-6) cm If the circumference is 60 cm. The area of the triangle is ....... cm2
x + 2 + 3x + 4x - 6 = 60
8x - 4 = 60
8x = 64
x = 8
8 + 2 = 10cm
3(8) = 24cm
4(8) - 6 = 26cm
(kali 2 dari segitiga siku-siku 5, 12, 13)
Ini merupakan segitiga siku-siku jadi 10 dan 24 merupakan alas dan tinggi jadi tinggal masukkan ke rumus luas segitiga
10 * 24 * 1/2 = 120 cm^2
ʕっ•ᴥ•ʔっ
[tex] 120 [/tex]
DEFINITION
Circumference is sum of the length of every outer sides.
ANSWER
Let [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] be the length of right triangle consecutively. Suppose [tex] C [/tex] is the circumference, then by definition
[tex] C = a + b + c \\ \Leftrightarrow C = (x+2)\text{ cm} + 3x \text{ cm} + (4x-6) \text{ cm} \\ \Leftrightarrow C = (8x - 4) \text{ cm} \\ \Leftrightarrow 60 \text{ cm} = (8x - 4) \text{ cm} \\ \Leftrightarrow 60 = 8x - 4 \\ \Leftrightarrow 64 = 8x \\ \therefore \: x = 8 [/tex]
By substituting [tex] x [/tex] with [tex] 8 [/tex], one can obtain
[tex] a = (8+2) \text{ cm} = 10 \text{ cm} \\ b = (3\times 8) \text{ cm} = 24 \text{ cm} \\ c = (4\times 8-6) \text{ cm} = 26 \text{ cm} [/tex]
Since side [tex] c [/tex] is the longest side ([tex] 26 \text{ cm} [/tex]), side [tex] c [/tex] is the hypothenuse.
Then, the area can be calculated as shown below
(Let [tex] A [/tex] be the questioned area)
[tex] A = \frac{1}{2} ab \\ \Leftrightarrow A = \frac{1}{2} \times 10\text{ cm} \times 24\text{ cm} \\ \therefore \: A = 120\text{ cm}^2 [/tex]
CONCLUSION
Therefore, the area of the right triangle is [tex] 120 \text{ cm}^2 [/tex].
8. a wooden board is shaped right angled triangle of which the length of the right angle is 13 cm and 40 cm. the area of the wooden board is
Jawab:
260 cm²
Penjelasan dengan langkah-langkah:
sisi saling tegak lurus siku2 berarti alas dan tinggi
maka L = 1/2*a*t
=1/2 *13 cm * 40 cm
= 1/2 * 520 cm²
=260 cm²
maaf kalau salah
no copas
maaf kalau salah
9. Triangle ABC is similar to triangle XYZ. What is the length of segment BC? * 2 points
Artinya segitiga ABC sebangun dengan segitiga XYZ
Jadi untuk mencari panjang/length of BC
Dengan menggunakan rumus perbandingan
12/x=8/6 (tukar tempat/switch places)
8x = 12 × 6
8x = 72
x = 72/8
x = 9 cm
So the length of segment BC its 9cm
Jadi panjang BC adalah 9cm
10. the perimeter of a triangle is 140cm the sum of the length of two of the sided equals the length of the shortest leg is 10 cm less than the length of the longlest leg find the length of the sides of the triangle
Jawaban:
Penjelasan:
A= length of sided side(sisi kaki segitiga)
B=base(alas segitiga)
2A=B-10
B=2A+10. (pers.1)
2A+B=140. (Substitusikan pers.1)
2A+(2A+10)=140
4A+10=140
4A=130
A=130/4=32.5 (. In english means comma)
B=2A+10=65+10=75 cm
11. the hypotenuse of a right triangle is 20m. Of the difference between the length of the other side is 4m. Find the length of the two sides
Jawaban:
x= 12cm, x=-16cm but side can never be a negative number.so x=12cm is your perpendicular distance(P) according to assumption.
Base distance(B)=x-4 =12-4=8cm
12. Length of right triangle is (x+2)cm (3x)cm and (4x-6) cm If the circumference is 60 cm. The area of the triangle is ....... cm2
[tex](x+2)+(3x)+(4x-6)=(8x-4)=60[/tex]
so, [tex]x=8[/tex]
length of the triangle is 10 cm, 24 cm, and 26, cm
In this triple pytagoras, the area is
[tex]\frac{1}{2} .10.24=120cm^{2}[/tex]
13. The area of a triangle is 528cm2. the length of its base is 33cm. calculate the perpendicular height of the triangle.
Diketahui:
Luas segitiga = 528 cm²
Panjang alas = 33 cm
Tinggi = ?
[tex]luas \: = 528 \\ \frac{1}{2} \times a \times t = 528 \\ \frac{1}{2} \times 33 \times t = 528 \\ t = \frac{528 \times 2}{33} \\ t = 32[/tex]
Jadi, tinggi segitiga adalah 32 cm.
Jawab:
32
Penjelasan dengan langkah-langkah:
L=528
a= 33
L= a*t/2
528= 33*t/2
1056=33t
t= 1056/33
t=32
14. 1. The hypotenuse of a right triangle has length 10 cm, and the other two sides have lengths y and 3y respectively. Find the area of the triangle, in cm2. 2. In the diagram below, ABC is an equilateral triangle of side length 7 cm. The arcs AB, BC and CA are drawn with centres C, A and B respectively. Find the total length, in cm, of the three arcs.
1. Hypotenuse is the longest side of a triangle, located in front of a right angle.
Phytagoras law indicated that : 10² = y² + 9y² --> 10² = y² (1 + 9) --> y = [tex] \sqrt{10} [/tex]
The area of the right triangle is [tex] \sqrt{10} [/tex] × 3[tex] \sqrt{10} [/tex] = 30 cm²
2. I'm sorry that I can be of no help here, haven't learned about this ;-; :'DD
Maap kalo salahh
15. A piece of wire is bent to form a triangle. The sides of the triangle are in the ratio 3:4:5. The length of the longest side is 35cm. Find the length of the wire used to form the triangle.
[tex] \frac{3 + 4 + 5}{5} \times 35 \: cm \\ \\ \frac{12}{5} \times 35 \: cm = 84 \: cm[/tex]
16. a wooden board is shaped right angled triangle of which the length of the right angle is 13 cm and 40 cm. the area of the wooden board is
Jawab:
260 cm²
Penjelasan dengan langkah-langkah:
sisi saling tegak lurus siku2 berarti alas dan tinggi
maka L = 1/2*a*t
=1/2 *13 cm * 40 cm
= 1/2 * 520 cm²
=260 cm²
maaf kalau salah
no copas
17. The area of a triangle is 30cm2 if the height is 6 cm what is the length of the base
Jawab:
5
Penjelasan dengan langkah-langkah:
18. the length of 3 sides of a triangle are in the ratio 5 : 4 :7.the longest side measures 77 cm.the length of the shortest side of the triangle is...cm
Jawaban:
44 cm
Penjelasan dengan langkah-langkah:
panjang terpendek adalah
4/7 x 77
=4 x 11
= 44
19. Determine the length of the side of the right triangle labeled x.
please find the formula
okay actually it's not physics but math because it deals with cubes thanks
20. a wooden board is shaped right angled triangle of which the length of the right angle is 13 cm and 40 cm. the area of the woode is
Jawab:
260 cm²
Penjelasan dengan langkah-langkah:
sisi saling tegak lurus siku2 berarti alas dan tinggi
maka L = 1/2*a*t
=1/2 *13 cm * 40 cm
= 1/2 * 520 cm²
=260 cm²
maaf kalau salah
no copas
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