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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Special Right Triangles

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Exercise 66 Page 648

Use the Pythagorean Theorem.

17.7

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=13, b=x, and c=22.

Let's substitute these values into the formula and solve for x.

a^2+b^2=c^2

SubstituteValues

Substitute values

13^2+ x^2= 22^2

▼

Solve for x

Calculate power

169+x^2=484

LHS-169=RHS-169

x^2=315

sqrt(LHS)=sqrt(RHS)

x=sqrt(315)

Use a calculator

x=17.74823...

Round to 1 decimal place(s)

x≈ 17.7

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

Subchapter links

Exercises p.644-648