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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 12 Page 634

Use the Pythagorean Theorem.

33sqrt(3) ≈ 57.2

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=33, b=x, and c=66.

Let's substitute these values into the formula.

a^2+b^2=c^2

SubstituteValues

Substitute values

33^2+ x^2= 66^2

▼

Solve for x

Calculate power

1089+x^2=4356

LHS-1089=RHS-1089

x^2=3267

sqrt(LHS)=sqrt(RHS)

x=33sqrt(3)

Use a calculator

x=57.157676...

Round to 1 decimal place(s)

x ≈ 57.2

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

Subchapter links

Exercises p.633-637