Question

Can someone check my answer?

Answer 1

The measure of EC is 1 ft.

Solution:

Given data:

AD = 8 ft, DB = 2 ft, AE = 4 ft

To find the measure of EC:

Using triangle proportionality theorem,

If a line is parallel to one side of a triangle intersects the other two sides, then it divides the two side proportionally.

$\frac{AD}{DB} =\frac{AE}{EC}$

$\frac{8}{2} =\frac{4}{EC}$

Do cross multiplication.

$8EC=2\times 4$

8 EC = 8

Divide by 8 on both side of the equation, we get

EC = 1

EC = 1 ft

Hence the measure of EC is 1 ft.