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It is Pythagoras' theorem that is applicable to right angle triangles.

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Q: Theorem is this describing In a right triangle the sum of the squares of the leg lengths is equal to square of the hypotenuse length.?

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It is Pythagoras' theorem

Providing that it is a right angle triangle then use Pythagoras; theorem:- a2+b2 = c2 where a and b are the lengths of the sides and c is the hypotenuse

Yes.

yes. you can use trigonometry but phytagoreans theorem is faster and easier

The ratio of the lengths of the hypotenuse to the shortest side is 2, and the ratio of the lengths of the two sides adjacent to the right angle is the square root of 3.

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The side lengths of a right triangle, squared, then added together, is equal to the hypotenuse squared.

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By using Pythagoras' theorem: a2+b2 = c2 Where a = base, b = height and c = hypotenuse of the triangle.

Pythagorean Theorem: a2 + b2 = c2