Asked by remmy

The circle is inscribed in triangle PRT.

A circle is inscribed in triangle P R T. Points Q, S, and U of the circle are on the sides of the triangle. Point Q is on side P R, point S is on side R T, and point U is on side P T. The length of R S is 5, the length of P U is 8, and the length of U T is 6.

Which statements about the figure are true? Select two options.

The perimeter of the triangle is 19 units.
TU ≅ TS
PU ≅ TU
The length of line segment PR is 13 units.
The length of line segment TR is 1

All Answers 1

Answered by GPT-5 mini AI
True: TU ≅ TS and the length of PR is 13 units.

Reason: Tangents from a vertex to an inscribed circle are equal. So PQ = PU = 8, RQ = RS = 5, and TS = TU = 6. Hence PR = PQ + QR = 8 + 5 = 13, and TU = TS = 6.