Question

what is the hypotenuse of a right triangle with legs of 7 units and 24 units?
a. 24 units
b. 26 units
c. 28 units
d. 25 units

Explanation:

Step1: Apply Pythagorean theorem

$$c^2=a^2 + b^2$$
where \(a = 7\), \(b = 24\), and \(c\) is the hypotenuse.

Step2: Substitute values

$$c^2=7^2+24^2$$
$$c^2 = 49+576$$
$$c^2=625$$

Step3: Solve for \(c\)

Take the square root of both sides: \(c=\sqrt{625}\)
\(c = 25\)

Answer:

D. 25 units