Question

In triangle abc, DE // BC and AD/DB = 3/2 and AE/EC=5/7 find DE/BC

Answer 1

Answer:

Step-by-step explanation:

If AD = DA and DE is parallel to BC then..

Tri ADE is similar to ABC.

Area of ABC = H x 1/2 BC

But we are given 1* 1/2* BC*H = 40

BD = DA, so DE must be 1/2 of BC.

Area of DAE then is H*1/2 * 1/4 * BC …. which is 1/4*H*BC

Ergo Area of DAE = 1/4 * 40 …which is 10

Answer Area of DAE = 10 Sq units.

Hope that helps.