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McGraw Hill Glencoe Geometry, 2012

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McGraw Hill Glencoe Geometry, 2012 View details

3. Special Right Triangles

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Exercise 67 Page 566

Use the Pythagorean Theorem.

12.0

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=6.3, b=10.2, and c=x.

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

a^2+b^2=c^2

SubstituteValues

Substitute values

( 6.3)^2+( 10.2)^2= x^2

▼

Solve for x

Calculate power

39.69+104.04=x^2

Add terms

143.73=x^2

sqrt(LHS)=sqrt(RHS)

sqrt(143.73)=x

Rearrange equation

x=sqrt(143.73)

Use a calculator

x=11.98874...

Round to 1 decimal place(s)

x≈ 12.0

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

Subchapter links

Check Your Understanding p.562

Practice and Problem Solving p.562-565

H.O.T. Problems p.565

Standardized Test Practice p.566

Spiral Review p.566

Skills Review p.566