Question

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

Answer 1

Answer:To determine the measurement of KL, we can use the concept of similar triangles and the corresponding sides.

In triangle XYZ, the ratio of the lengths of corresponding sides is:

XY/XJ = XZ/JK = YZ/KL

Plugging in the given values:

8.7/10.44 = 8.2/JK = 7.8/KL

From this, we can solve for JK:

JK = (8.2 * 10.44) / 8.7 ≈ 9.84

Therefore, the measurement of KL is approximately 9.84.

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