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14 votes
14 votes
given that two side lengths of a right triangle are 11 inches and 6 inches, is it possible to find the length of the third side

User Castles
by
2.9k points

1 Answer

11 votes
11 votes

Answer:

12.52996 or 12.53

Explanation:

Yes. Using Pythagorean Theorem, we can solve the answer to the third side.

Side A: 11

Side B: 6

Side C: ?

Pythagorean Theorem: a² + b² = c²

Next, plug in the numbers!

a² + b² = c²

11² + 6² = c²

121 + 36 = c²

157 = c²

What multiplied by itself gives 157?

(Hint:
\sqrt{157 )

So...

Side C equals 12.52996!

And if you'd like to round it, 12.52996 is rounded to 12.53.

Given that two side lengths of a right triangle are 11 inches and 6 inches, using Pythagorean Theorem, the length of the third side is 12.53 inches.

User Edwin Vermeer
by
3.0k points