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
To determine the measurement of KL, we can set up a proportion using the corresponding sides of the two similar triangles.
XY/JK = XZ/KL
8.7/10.44 = 8.2/KL
Cross multiply to solve for KL:
8.7 * KL = 10.44 * 8.2
KL = (10.44 * 8.2) / 8.7
KL = 98.84 / 8.7
KL = 11.364
Therefore, the measurement of KL is 11.364, which is closest to 11.36. So, KL = 11.36.