Answer:
PQ = 31
QR = 31
PR = 47
Step-by-step explanation:
From the question, we have the vertex as Q
This means that we have the legs as PQ and QR; with PR as the base
The base angles of an isosceles triangle are equal and that means that the leg length values are equal
So, QR = PQ
Thus;
3x-2 = 5x-24
5x-3x = 24-2
2x = 22
x = 22/2
x = 11
So we have PQ as;
5(11) - 24 = 55-24 = 31
QR = 3(11) -2 = 33-2 = 31
PR = 5x-8 = 5(11)-8 = 55-8 = 47
