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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

4. Solving Absolute Value Equations

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Exercise 66 Page 34

Use the formula for the area of a triangle.

12 feet

Practice makes perfect

We are given a triangle with a height of 8 feet and an area of 48 square feet. We are asked to find its base.

The area of a triangle can be found using the following formula. A=1/2bh In the formula b is the length of the base and h is the height. To find b, we are going to substitute A= 48 and h= 8 into the above formula, then solve for b.

A=1/2bh

A= 48, h= 8

48=1/2b( 8)

CommutativePropMult

Commutative Property of Multiplication

48=1/2* 8* b

MoveRightFacToNumOne

1/b* a = a/b

48=8/2b

Calculate quotient

48=4b

.LHS /4.=.RHS /4.

48/4=4b/4

Calculate quotient

12=4b/4

a/b=.a /4./.b /4.

12=b/1

a/1=a

12=b

Rearrange equation

b=12

The base of the triangle is 12 feet.

Subchapter links

Communicate Your Answer p.27

Monitoring Progress p.28-31

Exercises p.32-34