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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 9 Page 661

Use the Pythagorean Theorem.

15.20

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=16.

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

a^2+b^2=c^2

SubstituteValues

Substitute values

x^2+ 5^2= 16^2

▼

Solve for x

Calculate power

x^2+25=256

LHS-25=RHS-25

x^2=231

sqrt(LHS)=sqrt(RHS)

x=sqrt(231)

Use a calculator

x=±15.19868...

Round to 2 decimal place(s)

x≈ ±15.20

Since a negative side length does not make sense, we only need to consider positive solutions. This means x≈15.20.