High School Math 2012 Common-core Algebra 1 Practice And Problem        Solvingworkbook Grade 8/9
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
1st Edition
ISBN: 9780133185614
Author: Prentice Hall
Publisher: Prentice Hall
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Textbook Question
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Chapter 10.6, Problem 29P

For each triangle, find the missing side length to the nearest tenth.

A 60° angle has an adjacent leg 5 cm long. How long is the hypotenuse?

Expert Solution & Answer
Check Mark
To determine

To calculate: The length of hypotenuse for each triangle to the nearest tenth

Answer to Problem 29P

The length of the hypotenuse is 10 cm to the nearest tenth

Explanation of Solution

Given information:

The 60 angle has an adjacent leg 5 cm long

Formula used:

  cosθ=BaseHypotenuse

Calculation:

For a triangle, assume hypotenuse as AB and base as BC

The adjacent leg =BC=5 cm

The length of the hypotenuse of a triangle can be calculated as,

  cos60=BaseHypotenusecos60=BCABcos60=5ABAB=5cos60AB=512AB=5×2AB=10 cm [Nearest tenth]

Therefore, the length of the hypotenuse is 10 cm to the nearest tenth

Chapter 10 Solutions

High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9

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