Question

if corresponding heights of two similar triangle are in the ratio 4:7 then what is the ratio of their areas ​

Answer 1

Given :

• Corresponding heights of two similar triangle are in the ratio 4:7.

To find :

• The ratio of their areas =?

Step-by-step explanation :

It is Given that,

Corresponding heights of two similar triangle are in the ratio 4:7.

As We know that,

If two triangles are similar, Ratio of areas are equal to the square of their corresponding sides.

Corresponding side of of first triangle = 4

Corresponding side of of second triangle = 7

Now,

Corresponding side of of first triangle /Corresponding side of of second triangle = (4/7)²

= (4 × 4/7 × 7)

= 16/49

Therefore, The ratio of their areas = 16 : 49

Answer 2

GIVEN :

• Corresponding height of two similar triangle are in the ratio 4:7

TO FIND :

• Therefore, the ratio of their areas = ?

STEP - BY STEP EXPLAINATION :

→ Now , Corresponding side of 1st ∆ = 4

→ Now, Corresponding side of 2nd ∆ = 7

Hence, Corresponding side of 1st ∆ / Corresponding Side of 2nd ∆

=> (4/7)²

=> (4 × 4/7 × 7)

=> 16/49

When , 16/49 is changed in ratio we get 16:49

Therefore ,The Ratio of their areas = 16:49