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Benchmark 40
I can find the missing side of a right triangle using the Pythagorean Theorem.
Pythagorean Theorem
c 2
b
ac
In a ____ triangle, the square of the length of the __________ is equal to the sum of the squares of the lengths of the ____.
right
hypotenuse
legs
a 2 + b
2 =
Pythagorean Triple A set of three positive integers a, b, and c
that satisfy the equation a2 + b2 = c2. The integers 3, 4, and 5 form a
Pythagorean triple because:
32 + 42 = 52
9 + 16 = 2525 = 25
Find the length of the hypotenuse
12
x
5a2 + b2 = c2
5 2 + 122 = x2
25 + 144 = x2
169 = x 2
13 = x
Find the length of the leg
a2 + b2 = c2
7 2 + x2 = 142
49 + x2 = 196
x 2 = 147
x = 7 3
x
14
7
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