The key characteristic of a right triangle is that its angles have measures of 30 degrees (π/6 rads), 60 degrees (π/3 rads) and 90 degrees (π/2 rads) The sides of a right triangle lie in the ratio 1√32The formulas for finding the rest of the triangle from just X are the following, where Y = the long side, Z = the hypotenuse, A = area, and P = perimeter • Y = X*sqrt(3) • Z = X*2 • A = X^2*sqrt(3/2) • P = X*(3 sqrt(3)) You might note that the triangle is exactly one half of an equilateral triangle a triangle with equal sides and 60 degree angles, where one side is X2, being the shortest side of our triangleIf the shortest side of a triangle is 5sqrt(3) units long, find the length of the side that is opposite the 60 degree angle The shorter leg of a triangle is 9 cm

30 60 90 Triangle Explanation Examples