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Use the Pythagorean Theorem to find a Leg

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Use the Pythagorean Theorem to find a Leg
Use the Pythagorean
Theorem to find a Leg
2
a
+
2
b
=
2
c
Find the Hypotenuse
a=7
b=6 c=?
Is this a Pythagorean Triple? Nope!
a 2 + b2 = c2
72 + 62 = c2
49 + 36 = c2
85 = c2
9.21  c
a
b
c
Now find a leg
a2 + 152 = 172
a2 + 225 = 289 square the known sides
-225 = -225 isolate the variable
a2
a
a
= 64
subtract
= 64  “Undo” the square
=8
17
a
Check!
15
Check
a2 + 152 = 172
82 + 152 = 172
substitute the variable you found
64 + 225 = 289 solve
289 = 289
It checks!
Practice
602 + b2 = 612
602 + b2 = 612
3600 + b2 = 3721
-3600
= -3600
b2 = 121
b = 11
Is it a triple?
60
61
b
Practice
a2 + b2 = c2
a2 + 102 = 152
a2 + 100 = 225
-100 =
-100
a2 = 125
a = 125
a  11.18
15
a
10
Not a Triple!
That’s all for today!
Do your homework!
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