Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.

Mathematics

1 answer:

Brums [2.3K]3 years ago

5 0

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

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