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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

2. The Pythagorean Theorem and Its Converse

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Exercise 2 Page 633

Use the Pythagorean Theorem.

14.4

Practice makes perfect

To find the missing side of the triangle, we will use the Pythagorean Theorem. a^2+b^2=c^2

In the formula, a and b are the legs and c is the hypotenuse of a right triangle. We are given a triangle with a=8, b=12, and c=x.

Let's substitute these values into the formula.

a^2+b^2=c^2

SubstituteValues

Substitute values

8^2+ 12^2= x^2

▼

Solve for x

Calculate power

64+144=x^2

Add terms

208=x^2

sqrt(LHS)=sqrt(RHS)

sqrt(208)=x

Simplify root

4sqrt(13)=x

Rearrange equation

x=4sqrt(13)

Use a calculator

x=14.422205...

Round to 1 decimal place(s)

x≈14.4

Since a negative side length does not make sense, we only need to consider positive solutions.

Subchapter links

Exercises p.633-637