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Glencoe Math: Course 3, Volume 2

GM

Glencoe Math: Course 3, Volume 2 View details

5. The Pythagorean Theorem

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Exercise 1 Page 414

Use the Pythagorean Theorem.

20m

Practice makes perfect

To find the missing side length 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=16m and b=12m.

Let's substitute these values into the formula.

a^2+b^2=c^2

a= 16, b= 12

16^2+ 12^2=c^2

▼

Solve for c

Calculate power

256+144=c^2

Add terms

400=c^2

sqrt(LHS)=sqrt(RHS)

sqrt(400)=sqrt(c^2)

Calculate root

20=sqrt(c^2)

SqrtPowToNumber

sqrt(a^2)=a

20=c

Rearrange equation

c=20

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

Subchapter links

Guided Practice p.414

Independent Practice p.415-416

H.O.T. Problems p.416

Standardized Test Practice p.416-418

Extra Practice p.417

Common Core Review p.418