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This question is from my geometry homework. Solve for the value of x please!

This question is from my geometry homework. Solve for the value of x please!-example-1

1 Answer

6 votes

Answer:

x = 33

Explanation:

Given ∆TRS ~ ∆TQP with TR=8, RQ=16, RS=11, you want the length of QP=x.

Proportion

The corresponding sides of similar triangles are proportional in length:

QP/QT = RS/RT

x/(16+8) = 11/8

x = (24)(11/8) = 33

The length x is 33 units.

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