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

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

Given that SR⊥QT and that SQ≅ST, find the perimeter of ΔQST A. 22 B. 27 C. 30 D. 32-example-1

2 Answers

0 votes

Answer: it is D or 32.

Explanation:

User Jsnjack
by
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4 votes

Answer:

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.

User Muaz Khan
by
8.7k points

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