To find the missing side of a right triangle, you can use the Pythagorean theorem. The Pythagorean theorem 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.
In this case, if the missing side is denoted by x, and the other two sides are 7 and 24, we can set up the equation as:
x^2 = 7^2 + 24^2
Simplifying,
x^2 = 49 + 576
x^2 = 625
Taking the square root of both sides,
x = ±√625
Since the length of a side cannot be negative, we can disregard the negative solution.
Therefore, the length of the missing side is x = √625 = 25.
So, the missing side of the right triangle is 25.
Finding the missing side of the right triangle.
7 24 x
1 answer