Question

How do you find the remaining sides of a `45^circ-45^circ-90^circ` triangle if the longest sides are each `5sqrt2`?

Answer 1

In a 45-45-90 triangle, the longest side has to be the hypotenuse. The other two sides would be the same (in this case, 5).

Explanation:

The ratio of the sides of an isosceles right triangle (45-45-90) is `1:1:sqrt2` (leg:leg:hypotenuse). The hypotenuse is found by multiplying the length of the leg by `sqrt2`.

To find the length of a leg from the hypotenuse, divide by `sqrt2`

`(5sqrt2)/sqrt2=5`

Each of the legs are 5 units long