1. Use the Pythagorean Theorem to find a Leg
a2 + b2 = c2

2. Find the Hypotenuse a = 7 b = 6 c = ? Is this a Pythagorean Triple?
Nope!
a2 + b2 = c2
= c2
= c2
85 = c2
9.21  c a c b

3. Now find a leg a2 + 152 = 172 a2 + 225 = 289 square the known sides
= -225 isolate the variable
a = 64 subtract
a = 64  “Undo” the square
a = 8
Check! a 15 17

4. Check a2 + 152 = 172 82 + 152 = 172 substitute the variable you found
= solve
289 = 289 It checks!

5. Practice 602 + b2 = 612 602 + b2 = 612 3600 + b2 = 3721 -3600 = -3600
= -3600
b2 = 121
b = 11 60 b 61
Is it a triple?

6. Practice a2 + b2 = c2 a2 + 102 = 152 a2 + 100 = 225 -100 = -100
= -100
a2 = 125
a = 125
a  11.18 15 a 10
Not a Triple!

7. That’s all for today!
Do your homework!