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Special right triangle need help asap!

Special right triangle need help asap!-example-1
User Kelsin
by
3.0k points

2 Answers

1 vote

Answer:

15√3.

Explanation:

This is a 30-60-90 right triangle.

The sides are in the ratio 2:1:√3 where 2 is the hypotenuse, side of length 1 is opposite 30 degree angle and side √3 is opposite the 60 degree angle.

So as the side opposite the 30 degree angle = 15,

x = 15 * √3

= 15√3.

User Krynio
by
3.9k points
3 votes

Answer:

15√2 (fourth answer choice)

Explanation:

Note that the ratio 15/x is the tangent of 30 degrees, which in turn is 0.577 or 1/√2. Then:

1/√2 = 15/x, or

1 5

----- = ----- or x = 15√2

√2 x

User Konze
by
3.0k points