Question

One of the legs of a right triangle measures 1 cm and its hypotenuse measures 2 cm.

Find the measure of the other leg. If necessary, round to the nearest tenth.

Answer 1

1.7 cm

Explanation:

The formula to find the hypotenuse:
`c^(2) = a^(2) +b^(2)`. In this case, the hypotenus is given.

1) Substitute the values into the formula.

`2^(2) = 1^(2) +b^(2)`

2) Solve for
`b`.

`4 = 1 + b^(2) \\4 - 1 = b^(2)\\3 = b^(2)\\√(3) = b\\1.73205 = b`

3) Round the answer to the nearest tenth.

`1.7 = b`