Question

Q. Prove that if the areas of two similar triangles are equal, then they are equal.?

Q. Prove that the ratio of if the areas of two similar triangles is equal to the square of the ratio of their corresponding medians.?



Ans fast..
Similar triangles.. ​

Answer 1

We know,

ratio of area of 2 similar triangles = square of their corresponding sides.

I.E.,

A1/A2 = (S1/S2)², where the values of variables are as stated above.

Now, A1 = A2. As they are congruent.

=> A1/A2 = 1.

So => S1/S2 = 1.

Hence proved that they are equal.