Triangle xyz is an isosceles triangle with legs xy and zy. segments qr and qs are perpendicular bisectors of triangle xyz. find the length of segment qr if qs = 1/2x + 2 and qs = x - 10.

we know XYZ is an isosceles, thus XY = YZ, the perpendicular segment bisectors of QR and QS are also equal to each other in length, because they both are segment bisectors and thus YR=RX=YS=SZ, so any perpendicular line stemming from the same length on each side will meet its counterpart right on the middle of the triangle.

he answer is x=1x3 because x=1 to x=3