Algebra-2

In a 30-60-90 right triangle, the ratio of the sides is determined by the angles of the triangle. The sides are in the ratio 1:√3:2, where the shorter leg is opposite the 30-degree angle, the longer leg is opposite the 60-degree angle, and the hypotenuse is opposite the 90-degree angle.

 

Given that the shorter leg of the triangle is 10, we can determine the value of the longer leg.

 

Let's denote the length of the longer leg as 'x'.

 

According to the ratio of the sides in a 30-60-90 triangle, we have:

  

Therefore, the value of the longer leg is

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