Question

when two triangles eine similar, the patio
of the areas of those triangles is equal to
the ratio of the squares of their coppasponding
teia sides.​

Answer 1

Answer:

Step-by-step explanation:

Theorems on the Area of Similar Triangles

Theorem: If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

To prove this theorem, consider two similar triangles ΔABC and ΔPQR;

According to the stated theorem,

area of ΔABCarea of ΔPQR = (ABPQ)2 =(BCQR)2 = (CARP)2

As, Area of triangle = 1/2 × Base × Height