30-60-90 triangle has a hypoteneuse of 10 use trig to find the short side
a = 10sin30 = 5.
5, 5 radical 3, 10
To find the short side of a 30-60-90 triangle with a hypotenuse of 10, we can use trigonometric ratios. In a 30-60-90 triangle, the sides are in a fixed ratio.
Let's label the short side as "x". In a 30-60-90 triangle, the ratio of the lengths of the sides is 1 : √3 : 2. According to this ratio, the short side (x) is equal to half the length of the hypotenuse.
So, to find the short side, we can use the equation:
x = (1/2) * hypotenuse
Plugging in the values:
x = (1/2) * 10
x = 5
Therefore, the length of the short side of the 30-60-90 triangle is 5.