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.

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Presentation transcript:

W ARM -U P  Name the type of angle by the degree measure.  1.78 o o  o 4.13 o

Pre-Algebra 9.5 T HE P YTHAGOREAN T HEOREM

R IGHT T RIANGLE  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

P YTHAGOREAN T HEOREM  Pythagorean Theorem  describes the relationship between the lengths of the legs and the hypotenuse.  TRUE FOR ANY RIGHT TRIANGLE!!!! a 2 + b 2 = c 2 “a” and “b” represent the measures of the legs of the right triangle “c” represents the measure of the hypotenuse of the right triangle

E XAMPLES  Find the measures of the missing lengths of the right triangle. – SHOW ALL WORK!!!!!!  1.

E XAMPLES  Find the measures of the missing lengths of the right triangle. – SHOW ALL WORK!!!!!!  2.

E XAMPLES  Find the measures of the missing lengths of the right triangle. – SHOW ALL WORK!!!!!!  cm C cm 15 cm

E XAMPLES  Find the measures of the missing lengths of the right triangle. – SHOW ALL WORK!!!!!!  cm 22 cm B cm

E XAMPLES  The measures of three sides of a triangle are given. Determine whether each triangle is a right triangle or not.  4.48ft, 60ft, 78ft

E XAMPLES  The measures of three sides of a triangle are given. Determine whether each triangle is a right triangle or not.  5.24cm, 70cm, 74cm

S TUDY G UIDE AND INTERVENTION

H OMEWORK