GeometrySection 7.2

Use the Converse of the Pythagorean Theorem

Converse of the Pythagorean Theorem If the square of

the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

Verifying Right Triangles

8,34,4

14,11,10

61,6,5

Theorem If the square of the

length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle is an acute triangle

a

bc

222 bac

Theorem If the square of the

length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides, then the triangle is an obtuse triangle

a

b

c

222 bac

Classifying triangles

Decide if the segment lengths can form a triangle, if so classify it.

10, 11, 14

24, 30, 35

15, 20, 36

Assignment

Section 7.2 Page 444 Problems #4-24 even, 36(step up

to writing)