Question

The hypotenuse of a right triangle measures 8 cm and one of its legs measures 4 cm. Find the measure of the other leg.

Answer 1

`4√(3)` cm

Explanation:

We can use the Pythagorean Theorem to answer this question. Recall that the Pythagorean Theorem is:

`a^2+b^2=c^2`

where a is the length of a leg, b is the length of the other leg, and c is the length of the hypotenuse.

We are given the hypotenuse (8 cm) and one of the legs (4 cm). Substitute the values and solve for the unknown.

`a^2+b^2=c^2=\\4^2+b^2=8^2=\\16+b^2=64=\\b^2=48=\\b=√(48) =\\b=√(16)*√(3) =\\ b=4√(3)`

Therefore, the measure of the other leg is equal to
`4√(3)` cm.