One of the legs of a right triangle measures 9 cm and the other leg measures 1 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.Answer
Question
One of the legs of a right triangle measures 9 cm and the other leg measures 1 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.Answer
Solution
To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). In mathematical terms, this is expressed as c² = a² + b².
In this case, one leg of the triangle (a) is 9 cm and the other leg (b) is 1 cm. So, you can substitute these values into the equation:
c² = 9² + 1² c² = 81 + 1 c² = 82
To find c, you take the square root of both sides of the equation:
c = √82
The square root of 82 is approximately 9.1. So, the length of the hypotenuse is approximately 9.1 cm.
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