jeimyaguilar79 jeimyaguilar79
  • 01-05-2020
  • Mathematics
contestada

A triangle has sides with lengths of 65 yards, 16 yards, and 63 yards. Is it a right triangle?

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xxamari
xxamari xxamari
  • 01-05-2020

Answer:

Yes!

Step-by-step explanation:

We know that right triangles follow the Pythagorean Theorem, where

[tex]a^{2} + b^{2} = c^{2}[/tex]

So we will put our side lengths into this formula, keeping in mind that c = the hypotenuse, which is the longest side. a and b are fairly arbitrary.

[tex]16^{2} + 63^{2} = 65^{2}[/tex]

If this works, we know it's a right triangle.

256 + 3969 = 4225

4225 = 4225

It worked! It's a right triangle!!

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Sydlove4
Sydlove4 Sydlove4
  • 01-05-2020
yes bc the smallest 2 sides added together is greater than the larger one
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