Question

To the nearest hundredth of a centimeter what is the length of a leg of the triangle?

Answer 1

The length of a leg (or both legs) is equal to 59.74cm.

Why?

We can calculate the length of a leg of the given triangle, we can use the following formula:

`Sin(\alpha )=(Opposite)/(Hypotenuse)`

We know the angle, and the length of the hypotenuse, so, substituting and calculating we have:

`Sin(45\° )=(Opposite)/(84.6cm)\\\\0.707*84.5cm=Opposite\\\\Opposite=59.7415cm=59.74cm`

Hence, we know that the length of the legs is equal to 59.74cm (it's a right isosceles triangle)

Have a nice day!