Week 11 day 5 OZ is a bisector of / XOY. Which of the following statements is NOT true? A 2m<ZOY = m<XOY 2m<XOZ = m<XOY B C m<XOY = m<XOZ D m<ZOY = ½ m<XOY 2

8.1 The Pythagorean Theorem and Its Converse

Pythagorean Theorem In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. a b c a2+b2 = c2

Converse of the Pythagorean Theorem If the square of the length of one side of a triangle is equal to the sum of the square of the lengths of the other two sides, then the triangle is a right triangle. TRIANGLE CHECK! a b c c2 = a2 + b2

Here are some other theorems 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 sides, the triangle is obtuse. a b c a2 + b2 < c2

Here are some other theorems 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 sides, the triangle is acute. a b c a2 + b2 > c2

42+52=62 16+25=36 41>36 acute triangle What kind of triangle has the following sides? ? 42+52=62 ? 16+25=36 4, 5, 6 41>36 acute triangle

Lets try a problem x2+162=202 x2+256=400 x 20 16 -256 -256 x2=144 x=12

Workbook p. 397 all

Assignment Workbook Page 397 all