w arm -u p name the type of angle by the degree measure. 1.78 o 2.180 o 3.120 o 4.13 o

WARM-UP

Name the type of angle by the degree measure.

1. 78o 2.180o

3. 120o 4.13o

Pre-Algebra

9.5 THE PYTHAGOREAN THEOREM

RIGHT TRIANGLE

Hypotenuse the LONGEST side of

a right triangle OPPOSITE of the right angle

Legs the sides of a right

triangle that are ADJACENT to the right angle

PYTHAGOREAN THEOREM

Pythagorean Theorem

describes the relationship between the lengths of the legs and the hypotenuse.

TRUE FOR ANY RIGHT TRIANGLE!!!!

a2 + b2 = c2

“a” and “b” represent the measures of the legs of the right triangle

“c” represents the measure of the hypotenuse of the right triangle

EXAMPLES

Find the measures of the missing lengths of the right triangle. – SHOW ALL WORK!!!!!!

1.

EXAMPLES

Find the measures of the missing lengths of the right triangle. – SHOW ALL WORK!!!!!!

2.

EXAMPLES

Find the measures of the missing lengths of the right triangle. – SHOW ALL WORK!!!!!!

3.

20 cm

C cm

15 cm

EXAMPLES

Find the measures of the missing lengths of the right triangle. – SHOW ALL WORK!!!!!!

4.

14 cm

22 cm

B cm

EXAMPLES

The measures of three sides of a triangle are given. Determine whether each triangle is a right triangle or not.

4. 48ft, 60ft, 78ft

EXAMPLES

The measures of three sides of a triangle are given. Determine whether each triangle is a right triangle or not.

5. 24cm, 70cm, 74cm

STUDY GUIDE AND INTERVENTION

STUDY GUIDE AND INTERVENTION

STUDY GUIDE AND INTERVENTION

HOMEWORK

HOMEWORK