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Triangle XYZ ~ triangle JKL. Use the image to answer the question.

a triangle XYZ with side XY labeled 8.7, side XZ labeled 8.2, and side YZ labeled 7.8 and a second triangle JKL with side JK labeled 10.44

Determine the measurement of KL.

KL = 8.58
KL = 9.36
KL = 10.13
KL = 9.84

User WizzyBoom
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2 Answers

4 votes

Answer: 9.36

Explanation:

User Schumacherj
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5 votes

The value of KL for the similar triangle ∆JKL is derived to be equal to 10.92

How to evaluate the for the value of x for the triangle ∆JKL

The triangles XYZ and JKL are similar, this implies that the length XY of the smaller triangle is similar to the length JK of the larger triangle

similarly, YZ is similar to KL so;

8.7/12.18 = 7.8/KL

KL = (7.8 × 12.18)/8.7 {cross multiplication}

KL = 95.004/8.7

KL = 10.92

Therefore, the value of KL for the similar triangle ∆JKL is derived to be equal to 10.92.

User Kevin Pedersen
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