Question

The circle is circumscribed by the pentagon as shown (not drawn to scale) if QZ= 10 YX=13 UW=16 and SU=17 find the perimeter of the pentagon

Answer 1

98

Explanation:

VW = WX = 13 tangent of circle

VU = 16 - 13 = 3

UT = 3

TS = SR = 17 - 3 = 14

RQ = QZ = 10

perimeter = SQ + QR + RW + WU + US

= 14 + 10 + 10 + 9 + 9 + 13 + 16 + 17

= 98