Question

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.




Answer should be 32 and 40 cm plz give step by step explanation

Answer 1

this is the answer the writing is not nice sorry for that

Answer 2

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,

$A=\frac{1}{2}\times b\times h$

$640=\frac{1}{2}\times 4x\times 5x$

$640=10x^2$

$x^2=\frac{640}{10}$

$x^2=64$

$x=\sqrt{64}$

$x=8$

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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