Question

A right triangle has a side of length 1 fourth and a hypotenuse of length 1 third. What is the length of the other side?

Answer 1

The other side =
`(1)/(12)` units

Explanation:

A right triangle has a side of length
`(1)/(4)` units and;

the hypotenuse is
`(1)/(3)`

According to Pythagorean theorem,

a² + b² = c² , where a and b are the two legs of a triangle and c is the hypotenuse.

Lets say a² =
`((1)/(4)) ^2` and c² = (
`((1)/(3) )^2`

b² = c² - a²

b² =
`(1)/(9)` -
`(1)/(16)` =
`(1)/(144)`

So b =
`√(1/144)` =
`(1)/(12)` units.

So the other side =
`(1)/(12)` units.