Answer:
The side of long is, [tex]5\sqrt{3}[/tex] units
Step-by-step explanation:
This is the special right angle triangle [tex]30^{\circ} -60^{\circ}-90^{\circ}[/tex] as shown 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) = 5 units , hypotenuse(H) = 10 units
To find length of long side(L)
Then,
Using above statement;
length of longer sides(L) = [tex]\sqrt{3} \times S[/tex]
Substitute the values we get;
[tex]L = \sqrt{3} \times 5 = 5\sqrt{3}[/tex] units
