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