Question

Helppppppppp mathhhhhhhh

Answer 1

This right triangle with 30°, 60° and 90° is called semi equilateral. Its particularity is that the side opposite to 30° is equal half of the hypotenuse.

Here the longest leg is nothing but the hypotenuse =18.(given):
Let  x be the side opposite to 60° and let's calculate it by Pytaghoras:

18² =(18/2)² + x²,

324 = 81 + x² . Subtract 81 from both sides

324 - 81 = 81 + x² - 81

243 = x² and x = √243 =9√3