Question

40 points!!!!!!!!!!!!!! *If one of the legs of a right triangle is 4 in and the hypotenuse is 8 in, find the length of the other leg (use a calculator if necessary). Can you guess the measures of the acute angles?

Answer 1

Using pythagoras length of the other leg  = sqrt ( 8^2 - 4^2) = sqrt 48 = 4 sqrt3

the ratio of the sides of the triangle = 8 : 4 :4 sqrt3 = 2:1:sqrt3   so this is a 
30-60-90 degree triangle