One leg of a right triangle measures 15 m and the hypotenuse measures 17 m. What is the measure of the other leg?
A. 22.67 m
B. 8 m
C. 32 m
D. 5.66 m
Is the answer A?
Thanks
Yes, A is the answer. By using the same equation as the other one I replied to, you get this answer. So, it has to be correct.
I hope this helps! :)
Thanks Brady :)
You're welcome Anonymous! :)
Not so fast. We have the hypotenuse = 17
x^2 + 15^2 = 17^2
x = 8
So, B is correct
To find the measure of the other leg of the right triangle, we can use the Pythagorean theorem. According to the Pythagorean theorem, in a right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse.
Let's denote the measure of the other leg by x. We have the following equation:
x^2 + 15^2 = 17^2
Simplifying this equation, we get:
x^2 + 225 = 289
Subtracting 225 from both sides:
x^2 = 289 - 225
x^2 = 64
Taking the square root of both sides:
x = √64
x = 8
Therefore, the measure of the other leg of the right triangle is 8 m.
So, the correct answer is B. 8 m.