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Pls help me!!! I need to find what b is??

Pls help me!!! I need to find what b is??-example-1
User Carmellose
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9.0k points

1 Answer

1 vote

Answer:


(10 √(3) )/(3) = b

Explanation:

Hi there!

We are given a right triangle (notice the right angle), one angle with a measure of 30° and another with 60°

We are also given that one of the legs (one of the sides that makes up the right angle) is 5

We want to find what b is

This triangle is a special right triangle, a 30-60-90 triangle

In a 30-60-90 triangle, if the hypotenuse (the side opposite from the right angle) is b, the leg that is opposite from the 30° angle is
(b)/(2), while the leg that is opposite from the angle that is 60° is
(b√(3) )/(2)

In this case, we're given that the side opposite from the 60 degree angle is 5, meaning that 5 is equal to
(b√(3) )/(2)

So we can set 5 equal to
(b√(3) )/(2), to solve for b:

5=
(a√(3) )/(2)

Multiply both sides by 2

5*2=b√3

10=b√3

Now divide both sides by √3


(10)/(√(3) ) =b

rationalize the denominator


(10 * √(3) )/(√(3) *√(3) ) = b


(10 √(3) )/(√(9))= b


(10 √(3) )/(3) = b

The answer can be left as that.

Hope this helps!

User Doffm
by
8.7k points

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