Question

The ratio of the perimeters of two similar triangles is 2:3. What is the area of each of these triangles if the sum of their area is 260cm^?

Answer 1

@Hero @Callisto

Answer 2

Hint:If two figures are similar,
(ratio of the sides/perimeter)^2 = ratio of the areas
That is
\[(\frac{P_1}{P_2})^2 = \frac{A_1}{A_2}\]
Now, let \(A_1\) = A, you can express \(A_2\) in terms of A. You can write the equation \(A_1+A_2 = 260\) <- Write \(A_1\) and \(A_2\) in terms of A and solve A.

Answer 3

@Callisto