Question

Find the Missing Side Lengths
the Leave your answers as radicals in simplest form.​

Answer 1

x = √3

y = 1

Explanation:

The side x, the hypotenuse 2 and the 60 degree angle are related as follows:

x

sin 60 degrees = ----------

2

and so side x is equal to 2 sin 60 degrees, or 2( (√3)/2), or √3.

By the Pythagorean Theorem, x^2 + y^2 = 2^2, or

3 + y^2 = 4, and so

y^2 = 1

so side y has length 1

x = √3

y = 1