The base and height of a triangle are in the ratio 4:5 if the area is 640 sq.cm Find the base and height of a triangle.
Answers
Answer:
The base became l=4x=4(8)=32 cm. The height became b=5x=5(8)=40 cm. Therefore, the base is 32 cm and height is 40 cm.
Step-by-step explanation:
The base is 32 cm and height is 40 cm.
Step-by-step explanation:
Given : The base and height of a triangle are in the ratio 4: 5. If the area is 640 sq. cm.
To find : The base and height ?
Solution :
Let the ratio be 'x'.
The base and height of a triangle are in the ratio 4: 5.
The base became b=4x
The height became h=5x.
The area is A=640 sq. cm.
The area of the triangle is given by,
A=\frac{1}{2}\times b\times hA=
2
1
×b×h
640=\frac{1}{2}\times 4x\times 5x640=
2
1
×4x×5x
640=10x^2640=10x
2
x^2=\frac{640}{10}x
2
=
10
640
x^2=64x
2
=64
x=\sqrt{64}x=
64
x=8x=8
The base became l=4x=4(8)=32 cm.
The height became b=5x=5(8)=40 cm.
Therefore, the base is 32 cm and height is 40 cm.
#Learn more
The base and geight of a triangle are in ratio 4:5.if the area of the triangle is 90 sq m , find the measures of its base and height ?
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