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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Mid-Chapter Quiz

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Exercise 10 Page 661

Use the Pythagorean Theorem.

7.21

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=4, b=6 and c=x.

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

a^2+b^2=c^2

SubstituteValues

Substitute values

4^2+ 6^2= x^2

▼

Solve for x

Calculate power

16+36=x^2

Add terms

52=x^2

sqrt(LHS)=sqrt(RHS)

sqrt(52)=x

Rearrange equation

x=sqrt(52)

Use a calculator

x=±7.21110...

Round to 2 decimal place(s)

x≈ ± 7.21

Since a negative side length does not make sense, we only need to consider positive solutions. This means x≈ 7.21.