   Chapter 8.1, Problem 37E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Given: The area of right △ A B C (not shown) is 40  in 2 . m ∠ C = 90 ∘ A C = x B C = x + 2 Find: x

To determine

To find:

The value of x.

Explanation

Solving for the value of the x is follow by the formulae,

Area of the right triangle A=12ab unit2

Where a and b are the sides of the triangle.

Calculation:

Given,

Area of right ABC A=40 in2

AC=x

BC=x+2, and

mc=900

Area of the right triangle A=12ab unit2

Where, a=AC=x

b=BC=x+2

A=12ab

40=12(x)(x+2)

Multiply by 2 on both sides,

2(40)=2(12)(x)(x+2)

80=(x)(x+2)

By distributive property of multiplication

80=xx+x2

80=x2+2x

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Convert the expressions in Exercises 6584 to power form. x3

Finite Mathematics and Applied Calculus (MindTap Course List)

Identify the four steps of a hypothesis test as presented in this chapter.

Statistics for The Behavioral Sciences (MindTap Course List)

Find dy/dx by implicit differentiation. 13. x+y=x4+y4

Single Variable Calculus: Early Transcendentals, Volume I 