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Contact [7]
3 years ago
6

Use the Pythagorean Theorem to determine the if a triangle with side lengths 4ft., 10 ft., and 12ft. is a right triangle?

Mathematics
1 answer:
ruslelena [56]3 years ago
8 0
We can use Pythagoras Theorem to prove that a triangle is a right-angle triangle if the square of the two shorter legs add up to be the square of the longest leg.

In this case, we need to prove that 4² + 10² = 12²


<u>Pythagoras Theorem:</u>

\boxed {\boxed { a^2 + b^2 = c^2}}

4^2 + 10^2 = 16 + 100

4^2 + 10^2 = 116

4^2 + 10^2  \neq 12^2

Therefore a triangle with side lengths 4 ft, 10ft and 12 ft is not a right angle triangle.
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