Answer:
This is the special right angle triangle 30°-60°-90° as shown below in the figure.
- The side opposite the 30° angle is always the shortest because 30 degrees is the smallest angle.
- The side opposite the 60° angle will be the longer side, because 60 degrees is the mid-sized degree angle in this triangle.
- Finally , the side opposite the 90° angle will always be the largest side(Hypotenuse) because 90 degrees is the largest angle.
In 30°−60°−90° right triangle,
- the length of the hypotenuse is twice the length of the shorter side,
- also, the length of the longer side is [tex]\sqrt{3}[/tex] times the length of the shorter leg.
Given: length of short(S) = 2 units
To find the missing side, i.e hypotenuse(H) and longer side(L);
Then,
length of longer sides(L) = [tex]\sqrt{3} \times S[/tex]
Substitute the value of S = 2 we get;
[tex]L = \sqrt{3} \times 2 = 2\sqrt{3}[/tex] units.
Length of hypotenuse(H) = [tex]2 \times S[/tex]
Substitute the value of S = 2 we get;
[tex]H=2 \times 2 = 4[/tex] units.
therefore, the missing sides are:
Hypotenuse(H) = 4 units and
Longer side(L) = [tex]2\sqrt{3}[/tex] units.
