Question

Q-16 Sides of two similar triangles are in the ratio
5:6 Areas of these triangles are in the ratio *​

Answer 1

Hey there,

SO WE ARE GIVEN :

• Sides of two similar ∆s are in ratio 5:6

WE NEED TO FIND :

• Ratio Of Area Of These two ∆s.

SOLUTION : -

We know that if 2 ∆s are similar, the ratio of their areas is equal to the ratio of the square of their corresponding sides.

$\frac{a}{b} = \frac{5}{6}$

$\frac{area(∆1) }{area(∆2) } = \frac{(a) {}^{2} }{(b) {}^{2} } = \frac{(5) {}^{2} }{(6) {}^{2} } = \frac{25}{36}$

THUS, the ratio of the areas of the 2 similar ∆s are 25:36

HOPE THIS HELPS

THANKS