Precalculus Enhanced with Graphing Utilities
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN: 9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher: PEARSON
Question
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Chapter A.2, Problem 42AYU
To determine

To find: The missing length x and the missing angles A, B, and C if the triangles in each pair are similar.

Expert Solution & Answer
Check Mark

Answer to Problem 42AYU

x = 8 units, A = 30°, B = 75°, and C = 75° .

Explanation of Solution

Given:

Precalculus Enhanced with Graphing Utilities, Chapter A.2, Problem 42AYU

Calculation:

Because the triangles are similar, corresponding angles are equal. So A = 30°, B = 75°, and C = 75° . Also, the corresponding sides are proportional. That is, 12 6  =  16 x . Solve this equation for x .

12 6  =  16 x

Multiply both sides by 6x .

6x ×  12 6  = 6x ×  16 x

12x = 96

x = 8 units.

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