Question

if the legs of a right triangle are 6 units and 8 units, what is the length of the hypotenuse?
a. 14 units
b. 10 units
c. 12 units
d. 11 units

Explanation:

Step1: Apply Pythagorean theorem

$$c^2=a^2 + b^2$$
Here \(a = 6\), \(b = 8\), and \(c\) is the hypotenuse.

Step2: Substitute values

$$c^2=6^2+8^2=36 + 64$$

Step3: Calculate \(c^2\)

$$c^2=100$$

Step4: Find \(c\)

$$c=\sqrt{100}=10$$

Answer:

B. 10 units