Question

If line VX is the bisector of angle V, find the perimeter of triangle VUW .

Answer 1

Since VX is the bisector of angle V and < VXU is a right angle then  UX is congruent to XW and triangle VUW is isosceles with VU = VW.

3z - 4 = x + 6
2z = 10
z = 5

so UW = 3(5) - 4 + 5 + 6  = 22
and VW = 5(5) - 1 = 24

VU = VW = 24 

perimeter = 2(24) + 22 =  70