What is the length of the missing side?

A right triangle is drawn. The short segment adjacent to the right angle is 10. the long segment adjacent to the right angle is 24. The segment opposite the right angle is the unknown measure.

1 answer

The missing side can be calculated using the Pythagorean theorem, which 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.

Let x be the length of the missing side. By the Pythagorean theorem:

x^2 + 10^2 = 24^2
x^2 + 100 = 576
x^2 = 476
x = √476
x ≈ 21.8

So, the missing side of the right triangle is approximately 21.8.