Multiple Choice

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 point)
Responses which is the true correct answer a b c or d solve it and tell me why

21.8
21.8

26
26

28
28

34

1 answer

To find the missing side length of the right triangle, we can use the Pythagorean theorem: a^2 + b^2 = c^2, where a and b are the lengths of the two shorter sides (10 and 24) and c is the length of the hypotenuse (missing side).

10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
c = √676
c = 26

Therefore, the missing side length is 26. So the correct answer is B.