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If two sides are given and you need to know the length of the third side use the Pythagrean Theorem formula. Then you find the square root.

c² = a² + b²

* * * * *

That is useful only if the triangle is a right angled triangle. Most are not. The correct answer depends on what information you do have.

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Q: How do you find the unknown length of a triangle?
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The pythagorean theorem can what?

it can help you find the unknown length on one side of a triangle


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How do you use the Pythagorean theorem?

The Pythagorean states that a2 + b2 = c2 for a right triangle, where a and b are the lengths of the legs of the right triangle, and c is the length of the hypotenuse (the diagonal side).Say you are given a triangle with legs of lengths 3 and 4, and need to find the length of the hypotenuse. You can write the equation32 + 42 = c2, where c is the length of the hypotenuse.This gives25 = c2, and taking the square root of both sides of the equation gives5 = c, so the length of the hypotenuses in this case is 5.Another example:Say you have a right triangle where the length of one leg is 12 and the length of the hypotenuse is 13, and you need to find the length of the other leg. You can write the equationa2 + 122 = 132, where a is the length of the unknown leg.Solving:a2 + 144 = 169a2 = 25a = 5, so in this case, the length of the unknown leg is 5.