Answer:
The other leg is 24 meters long.
Explanation:
Since we have a right triangle and are given two side lengths, we can find the length of the other leg using the Pythagorean Theorem, which is given by:
a^2 + b^2 = c^2, where
- a and b are the lengths of the legs,
- and c is the length of the hypotenuse.
We can find b (the length of the other leg) by substituting 7 for a and 25 for c:
Step 1: Plug in 7 for a and 25 for c and simplify:
7^2 + b^2 = 25^2
49 + b^2 = 625
49 + b^2 = 625
Step 2: Subtract 49 from both sides:
(49 + b^2 = 625) - 49
b^2 = 576
Step 3: Take the square root of both sides to solve for b (the length of the other leg):
√b^2 = √576
b = ± 24
b = 24
Thus, the length of the other leg is 24 meters.
7, 24, and 25 are what we call a Pythagorean Triple, meaning you get an exact answer for the legs and hypotenuse when solving for either one.