In AKLM, the measure of ZM=90°, KM = 48, LK = 73, and ML = 55. What ratio represents the cosine of ZL?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.4: Similar And Congruent Figures
Problem 12E
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In AKLM, the measure of ZM=90°, KM = 48, LK
= 73, and ML = 55. What ratio represents the
cosine of ZL?
Transcribed Image Text:In AKLM, the measure of ZM=90°, KM = 48, LK = 73, and ML = 55. What ratio represents the cosine of ZL?
Expert Solution
Step 1

Given that, in KLM, the measure of M=90°, the sides KM = 48, LK = 73, and ML = 55. 

From the given information, it is observed that the triangle KLM is a right angle triangle.

The right angle triangle formed has an hypotenuse , opposite and an adjacent side. 

Use the given information and draw a right angle triangle as follows.

Advanced Math homework question answer, step 1, image 1

From the above figure, it is observed that hypotenuse LK = 73, opposite side KM = 55 and an adjacent side ML = 55. 

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