Question

If the ratio of areas of 2 similar triangle is 81:100 then what is the ratio of their corresponding sides

Answer 1

the ratio of their corresponding sides is ...
= (81/100)^2
= (6561/10000)
since the ratio of the area of two similar triangles is equal to the ratio of their corresponding sidrs

Answer 2

→As we know when two triangles are similar , the ratio of areas of these triangles will be equal to square of their corresponding sides.

It is given that ratio of areas of 2 similar triangle is 81:100.

Let a and b be sides of  triangle P and Q.

→$\frac{Area(P)}{Area(Q)} = \frac{a^{2}} { b^{2} } =\frac{81}{100}$

→$\frac{a^{2}} { b^{2} } =[ \frac{9}{10} ]^{2}\\\\\frac{a}{b}= \frac{9}{10}$

So, ratio of corresponding sides will be = 9:10