Question

One leg of a triangle has a measure of 24 units. If the hypotenuse measures 25 units, which of the following equations could be used to find the length of the other leg? 75 points need asap

24 2 + b2 = 25 2
a2 + 25 2 = 24 2
24 2 + 25 2 = c2

Answer 1

The equation that could be used to find the length of the other leg is a2 + 25 2 = 24 2. This equation uses the Pythagorean Theorem, which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side. In this equation, the longest side is the hypotenuse with a measure of 25, and one of the shorter sides has the measure of 24.

Answer 2

Explanation:

The equation that could be used to find the length of the other leg of the triangle is:

a^2 + b^2 = c^2

where a, b, and c are the lengths of the legs and the hypotenuse of the right triangle, respectively.

In this case, one leg has a measure of 24 units and the hypotenuse measures 25 units. Let b be the length of the other leg. Then we can plug in the given values into the Pythagorean theorem as follows:

24^2 + b^2 = 25^2

576 + b^2 = 625

b^2 = 625 - 576

b^2 = 49

b = √49

b = 7

Therefore, the length of the other leg of the triangle is 7 units, and the correct equation to find it is:

a^2 + b^2 = c^2

where a = 24, b = 7, and c = 25.