Find value of x in the 30° - 60° - 90° triangle. Give your answer as a simplified radical.

Given :-

To Find :-

Answer :-

As we can see that the triangle is divided by perpendicular bisector . So , the base gets divided into two equal halves . Here we will have to use the ratio of tan , as ;

tan 60° = 15/x

√3 = 15/x

x = 15/√3

x = √3² * 5/√3

x = 5√3

x = 5 * 1.732

x = 8.66

Hence the required answer is 5√3 or 8.66 units.

mr. india