Question

The hypotenuse of a right triangle measures 11 cm and one of its legs measures 9 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answer 1

5.5 cm

Explanation:

Recall the Pythagorean Theorem which states that
`a^2+b^2=c^2` for a right triangle with side lengths
`a` and
`b`, with a hypotenuse of
`c`:

`a^2+b^2=c^2\\\\9^2+b^2=11^2\\\\81+b^2=121\\\\b^2=30\\\\b=√(30)\\\\b\approx5.5`

Therefore, the measure of the other leg is about 5.5 cm

Answer 2

Hhggyffjkekejejofhwbeidfhebe