The correct answer is: Option (D) 100, hypotenuse
Explanation:
Pythagorean theorem is written in mathematical form as follows:
(hypotenuse)^2 = (perpendicular)^2 + (base)^2
perpendicular and base are called the legs of a right-angled triangle.
Let's suppose that 28 and 96 are the legs of triangle, then by applying the Pythagorean theorem, we would get the hypotenuse as follows:
(hypotenuse)^2 = (28)^2 + (96)^2
(hypotenuse)^2 = 10,000
Take square-root on both sides:
hypotenuse = 100 (Option D)
Let's suppose 96 is a hypotenuse, and 28 is one leg (let's say base) of a right-angled triangle, then:
(96)^2 = (28)^2 + (leg)^2
leg = \(\sqrt{96^2 - 38^2} = 4\sqrt{527}\) (not an option)
Hence the correct answer is Option (D) 100, hypotenuse.
