Which of the following shows the length of the third side, in inches, of the triangle below? (1 point)
A right triangle is shown. One side of the triangle is labeled as 74 inches. The height of the triangle is labeled as 24 inches.
Square root of 6052 inches
50 inches
70 inches
Square root of 98 inches
To determine the length of the third side of the triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, one side is labeled as 74 inches and the height is labeled as 24 inches. Let's call the missing side x.
Using the Pythagorean theorem, we have:
x^2 = 74^2 + 24^2
x^2 = 5476 + 576
x^2 = 6052
To find the length of the third side, we take the square root of both sides:
x = √6052
Therefore, the length of the third side is the square root of 6052 inches.