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JaniceneshiaSmith15
Draw a triangle with horizontal base and hypotenuse rising from lower left to upper right at a 30 deg. angle. 
The side labelled a =20 can't be the hypotenuse otherwise why ask to find the hypotenuse? It can't be the 
vertical side because, for sin = 1/2, vertical = (1/2)hypotenuse and hypotenuse = (2)vertical = 40. This 
would trivialize the problem so the only side to be labelled a = 20 is the horizontal base. So we label the 
vertical side t and the hypotenuse 2t. Then we have (2t)^2 = t^2 + (20)^2, ie., 3t^2 = (20)^2, t = 20/rt3, and 
2t

ANSWER:hypotenuse = (40/3)rt3.

The hypotenuse of triangle is 40/√3

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

Given:

B= 1/2, a= 20

Let us consider a triangle with upper right angle at a 30 degree.

As,  sin = 1/2,

vertical side/hypotenuse  = (1/2)

hypotenuse = (2)vertical

=2*a= 40.

which dosen't satisfy the condition so the side a = 20 be the horizontal base.

Now let vertical side= x

and, hypotenuse= 2* vertical side= 2x

Using Pythagoras theorem

(2x)² = x² + (20)²

3x² = (20)²

x = 20/√3

and, 2x= 40√3

Learn more about Trigonometry here:

https://brainly.com/question/26719838

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