In a 30-60-90 triangle, the sides opposite the angles measure x, 2x, and x√3 (where x is the shortest side).
Here, we know that the shortest side (opposite the 30 degree angle) is y, which means:
y = x
The side opposite the 60 degree angle is x√3, which means:
x√3 = 6
Solving for x:
x = 2√3
And solving for y:
y = x
y = 2√3
simplifying:
x = 2√3 = 3√3/2
y = 2√3 = 3√3/2
So, in simplest radical form, x = 3√3/2 and y = 3√3/2 (or we can express both as 3√3).
Find the length of x and y in the 30-60-90" triangle. Leave answer in simplest radical form
Right triangle y, x, 6
X=? Y=?
Answer x= 3sqrt3 y= 3
1 answer