Question

If triangle DEF is an isosceles triangle, angle d is the vertex angle, DE = 4x-7, EF = 3x+2 and DF = 6x- 15, find the value of x and the measure of each side

Answer 1

Answer:

x=4, DE = 9, DF = 9, EF = 14

Step-by-step explanation:

Since D is the vertex angle, DE = DF, so that

4x - 7 = 6x - 15

-7 = 2x - 15

8 = 2x

x = 4, and

DE = 4x - 7 = 4(4) - 7 = 16 - 7 = 9

DF = 9

EF = 3(4) + 2 = 12 + 2 = 14