If a right triangle has one leg measuring 27 inches and one leg measuring 22 inches, what is the length of the hypotenuse?
a. 35
b. 16
c. 7
d. 5
I got b. Is this correct? Please correct me (without cheating, okay?) if I am not! Thanks.
the hypotenuse is the LONGEST side
Oh, dear, thanks. I always forget that. I have a horrible memory, haha!
or you can just say a.35
To find the length of the hypotenuse, you can use the Pythagorean theorem, which 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.
So for the given right triangle with legs measuring 27 inches and 22 inches, you can use this formula:
hypotenuse^2 = leg1^2 + leg2^2
Substituting the values:
hypotenuse^2 = 27^2 + 22^2
Simplifying this equation:
hypotenuse^2 = 729 + 484
hypotenuse^2 = 1213
To find the length of the hypotenuse, you need to take the square root of both sides:
hypotenuse = √1213
Calculating the square root, you get:
hypotenuse ≈ 34.837
Since the answer choices are given in whole numbers, you need to round the value of the hypotenuse. Looking at the answer choices:
a. 35
b. 16
c. 7
d. 5
The closest value to 34.837 is 35 (answer choice a). So, based on the calculations, the correct answer would be a.