Question

PLEASEE helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answer 1

Answer:

Measure of DE is 12

Step-by-step explanation:

Here, we want to get the measure of DE

We have two similar triangles here

BDE and BAC

if two triangles are similar, then the ratio of their sides are same

Thus, in this case, we proceed as follows;

Now, since DE cuts each side into half;

we can have AB as 2y; then BD as y

Thus, we have that;

BD/DE = AB/AC

y/4x + 4 = 2y/x + 36

2y(4x + 4) = y(x + 36)

2(4x + 4) = x + 36

8x + 8 = x + 36

8x-x = 36-8

7x = 28

x = 28/7

x = 4

recall;

DE is 4x + 4

insert x = 2

DE = 4(2) + 4

DE = 12