Question

if the legs of a right triangle are 10 and 24, then the hypotenuse is ______. options: 30, 19, 26, 21

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 10\), \(b = 24\).

Step2: Substitute values

$$10^{2}+24^{2}=c^{2}$$
$$100 + 576=c^{2}$$
$$676=c^{2}$$

Step3: Solve for \(c\)

$$c=\sqrt{676}$$
$$c = 26$$

Answer:

26