1. 7.2 The Pythagorean Theorem and its Converse
What you’ll learn:
To use the Pythagorean Theorem
To use the converse of the Pythagorean Theorem

2. Theorem 7.4
The Pythagorean Theorem In a right triangle, the sum of the squares of the measures of the legs equals the square of the measure of the hypotenuse. a²+b²=c² A B C a b c
hypotenuse
leg

3. Theorem 7.5
Converse of the Pythagorean Theorem If the sum of the squares of the measures of 2 sides of a triangle equals the square of the measure of the longest side, then the triangle is a right triangle. If a²+b²=c² then ABC is a right . A B C a b c

4. Pythagorean Triples
Pythagorean Triple – 3 whole numbers that satisfy the equation a²+b²=c². Some common Pythagorean triples are: 3,4,5 7,24,25 8,15,17 9,40,41 More triples can be created by multiplying the numbers by a constant. 3,4,5 6,8,10 15,20,25 30,40,50

5. 15.4
7.8 x
Find x. 3.
1. 2. 6 17 x 9 x

6. Determine whether ABC is a right triangle for the given vertices.

7. Determine whether each set of numbers can be the measure of the sides of a right triangle. Then state whether they form a Pythagorean Triple.
7, 28, 29

8. Homework p. 354 12-34 even Quiz tomorrow on 7.1-7.2