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Solve for x. The triangles in each pair are similar.

Solve for x. The triangles in each pair are similar.-example-1
User HackR
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1 Answer

7 votes

Answer:

x = 6

Explanation:

You want to find the value of x for similar triangles JKL and QRS, where JK=84, KL=91, QR=4x, RS=26.

Proportion

Corresponding sides of similar triangles are proportional.

JK/KL = QR/RS

84/91 = 4x/26

(26/4)(84/91) = x = 6

The value of x is 6.

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Additional comment

The shorter:longer side length ratios in the two triangles are 12:13. This means 4x=24, or x=6.

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User Dmytro Rostopira
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