Question

Circle o is inscribed in triangle rst such that it is tangent at points m,n, and p. if rp is 7, rt is 17 and sm is 5, then what is the length of side st?

Answer 1

15

Explanation:

Tangents to the circle from the same point are the same length. Then rn = 7, and nt = 10. This means mt = 10, so ...

st = sm +mt = 5 +10

sm = 15