Question

Given that SR⊥QT and that SQ≅ST, find the perimeter of ΔQST

A. 22
B. 27
C. 30
D. 32

Answer 1

Answer: it is D or 32.

Explanation:

Answer 2

D. 32

Explanation:

SQ = ST means the triangles SRQ and SRT are congruent, so RQ = RT.

2x +1 = 3x -1

2 = x . . . . . . . add 1-2x

Then ST = 5(2)+1 = 11, TR = 3(2)-1 = 5 and the two remaining line segments of the perimeter are the same lengths as these. The perimeter is ...

P = 2(11 +5) = 32 . . . . units

The perimeter of ΔQST is 32 units.