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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 29 Page 635

Use the Pythagorean Theorem.

4sqrt(6) ≈ 9.8

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=10, b=x, and c=14.

Let's substitute these values into the formula.

a^2+b^2=c^2

SubstituteValues

Substitute values

10^2+ x^2= 14^2

▼

Solve for x

Calculate power

100+x^2=196

LHS-100=RHS-100

x^2=96

Calculate root

x=4sqrt(6)

Use a calculator

x=9.797958...

Round to 1 decimal place(s)

x≈9.8

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

Subchapter links

Exercises p.633-637