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Romanian Master of Mathematics
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In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This is known as the Pythagorean theorem. If the two shorter sides of a right triangle are 3 and 4 units long, what is the length of the hypotenuse?
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5
💡 Explanation:
Using the Pythagorean theorem, we have: (a^2 + b^2 = c^2) where (a) and (b) are the lengths of the shorter sides and (c) is the length of the hypotenuse. Substituting the given values, we get: (3^2 + 4^2 = c^2) (9 + 16 = c^2) (25 = c^2) (c = \sqrt{25}) (c = 5) Therefore, the length of the hypotenuse is 5 units.