Question

in the give figure , if DE||BC , find the ratio of ar(ADE)and ar(DECB)​

Answer 1

Hope it helps............

Answer 2

Answer:

= 1:3

Step-by-step explanation:

Given: DE||BC

DE = 6cm. BC = 12cm

To find , at ∆ADE : ar DECB

In ∆ADE and ∆ABC

∆A is common

∆ADE = ∆ABC. corresponding angle

.:. ∆ADE ~ ∆ABC. by AA

since both the triangle are similar ratio of area of two semilar triangle is equal to the square of its corresponding sides.

.:. ar ∆ADE / ar ∆ABC = (DE/BC)²

= (6/12)²

= 1/4

.:. ar ∆ADE / ar DECB = 1/ar ∆ABC - ar ∆ADE

= 1 / 4 - 1

= 1:3

Thank ❤️

hope it helps you.

silentlover45.❤️