Question

Express the ratio of the area of triangle abc to the area of triangle edc

Answer 1

Given :

Two similar triangle.

To Find :

The ratio of the area of triangle abc to the area of triangle edc.

Solution :

 ΔABC ~ ΔAPQ  (AA criterion for similar triangles)

Since both the triangles are similar, using the theorem for areas of similar triangles we have :

$\dfrac{Area \ of \ \Delta ABC}{Area \ of \ \Delta EDC} = \dfrac{AC}{EC}\\\\\dfrac{Area \ of \ \Delta ABC}{Area \ of \ \Delta EDC} = \dfrac{20+8}{20}\\\\\dfrac{Area \ of \ \Delta ABC}{Area \ of \ \Delta EDC} = 1.4$

Therefore, ratio of area of triangle is 1.4 .