Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
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Answer:
a = 4
b = 2√3
Step-by-step explanation:
Here, we want to get the missing side lengths
We start by looking at the values that we are given
from the question, a faces the right-angle and is called the hypotenuse; it is also the longest side
b faces the angle given and is also called the opposite
Lastly, the side marked 2 is the adjacent side
Now, the triangle given is called a 30-60-90 triangle
In a 30-60-90 triangle, the ratio of the sides are given as
1: √3:2
Thus, we have 1 as the adjacent
The opposite would be √3 * 2 = 2 √3 = b
Lastly , a = 2 * 2 = 4