What is the length of the hypotenuse of a right triangle with legs of lengths 9 in. and 40.
A. 41
B. 49
C. 840.5
D. 1,681
I believe it is A, because 9^2 is 81 and 40^2 is 1681 and when you find the perfect square of that it's 41. Am I right?
Yes, 41 is right.
But 40 squared is 1600.
Yes, you are correct. To find the length of the hypotenuse (c) of a right triangle using the Pythagorean theorem, you need to square the lengths of the legs (a and b), and then take the square root of the sum of those squares.
In this case, the length of one leg (a) is 9 in. and the length of the other leg (b) is 40 in. Therefore, the calculation would be:
c = √(a^2 + b^2)
c = √(9^2 + 40^2)
c = √(81 + 1600)
c = √(1681)
c = 41
So, the correct answer is A. 41
Yes, you are correct. To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs).
In this case, the lengths of the legs are 9 in. and 40 in. To find the length of the hypotenuse, you can square the length of each leg and then sum those squares together:
9^2 + 40^2 = 81 + 1600 = 1681
Taking the square root of 1681 gives you the length of the hypotenuse:
√1681 = 41
Therefore, the correct answer is A. 41, because the length of the hypotenuse is 41 inches.