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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 1 Page 633

Use the Pythagorean Theorem.

12

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=x, b=5, and c=13.

Let's substitute these values into the formula.

a^2+b^2=c^2

SubstituteValues

Substitute values

x^2 + 5^2= 13^2

▼

Solve for x

Calculate power

x^2+25=169

LHS-25=RHS-25

x^2=144

sqrt(LHS)=sqrt(RHS)

x=12

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

Subchapter links

Exercises p.633-637