Question

if the hypotenuse of a right triangle is 10 units and one leg is 6 units, what is the length of the other leg?
a. 4 units
b. 8 units
c. 7 units
d. 5 units

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 6\), \(c = 10\), find \(b\).

Step2: Substitute values

$$6^{2}+b^{2}=10^{2}$$
$$36 + b^{2}=100$$

Step3: Solve for \(b^{2}\)

$$b^{2}=100 - 36$$
$$b^{2}=64$$

Step4: Find \(b\)

$$b=\sqrt{64}$$
$$b = 8$$

Answer:

B. 8 units