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If IJ=16 and JK=9, what is the length of HK⎯⎯⎯⎯⎯⎯?

The figure shows right triangle K H I with altitude H J to hypotenuse K I.

A. HK = 20
B. HK = 15
C. HK = 25
D. HK = 12

please help explain this to me thank you.

1 answer

the two triangles formed by HJ are similar to the original triangle
... so the ratios of corresponding sides are the same

HK / JK = KI / HK

(HK) ^2 = 25 * 9
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