Question
A right triangle has one leg that measures 8 units and the other leg measures 6 units. Calculate the length of the hypotenuse.
Ask by Maxwell Davey. in South Africa
Jan 23,2025
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Answer
The hypotenuse is 10 units long.
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To find the length of the hypotenuse in a right triangle, we can use the Pythagorean theorem, which states \(a^2 + b^2 = c^2\), where \(c\) is the hypotenuse. Here, our legs \(a\) and \(b\) measure 8 and 6 units respectively. So, we calculate: \(8^2 + 6^2 = 64 + 36 = 100\). Now, take the square root of 100, which gives us \(c = 10\) units. The length of the hypotenuse is 10 units!