What is the length of the hypotenuse of a right triangle if the two legs are 21 and 20?
21 * 21 = 441
20 * 20 = 400
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h^2 = 841
h = sqrt (841)
29
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Given that the lengths of the two legs of the right triangle are 21 and 20, let's label them as side A and side B respectively. And let's label the hypotenuse as side C.
Using the Pythagorean theorem:
C^2 = A^2 + B^2
Substituting the given lengths:
C^2 = 21^2 + 20^2
Simplifying:
C^2 = 441 + 400
C^2 = 841
To find the value of C, we need to take the square root of both sides:
C = sqrt(841)
The square root of 841 is 29.
Therefore, the length of the hypotenuse of the right triangle is 29.