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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Standardized Test Practice

Exercise 1 Page 710

Use the Pythagorean Theorem.

A

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=12, b=x, and c=25.5.

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

a^2+b^2=c^2

SubstituteValues

Substitute values

12^2+ x^2= 25.5^2

▼

Solve for x

Calculate power

144+x^2=650.25

LHS-144=RHS-144

x^2=506.25

sqrt(LHS)=sqrt(RHS)

x=sqrt(506.25)

Calculate root

x=22.5

Since a negative side length does not make sense, we only need to consider positive solutions. Note that the obtained value corresponds to option A.

Subchapter links

Multiple Choice p.710

Short Response/Gridded Response p.711

Extended Response p.711