Use the Pythagorean Theorem to find a Leg

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 72 62 c2 49 36 c2 85
c2 9.21 ? c
3
Now find a leg

• a2 152 172
• a2 225 289 ?square the known sides
• -225 -225 ?isolate the variable
• a2 64 ?subtract
• a ?64 ? Undo the square
• a 8
• Check!

4
Check

• a2 152 172
• 82 152 172 substitute the variable you
  found
• 64 225 289 solve
• 289 289 It checks!

5
Practice

• 602 b2 612

602 b2 612 3600 b2 3721 -3600
-3600 b2 121 b 11
Is it a triple?
6
Practice

• a2 b2 c2
• a2 102 152
• a2 100 225
• -100 -100
• a2 125
• a ?125
• a ? 11.18

Not a Triple!
7

• Thats all for today!
• Do your homework!