Question

Using the technique in the model above, find the missing side in this 30°-60°-90° right triangle.

Short = 5 , hypotenuse = 10
Long =


Please help I am really confused

Answer 1

Is it trigonometry?
In that case take 30 degree as our reference point, then the long side will be hypotenuse*cos 30 which is 10*1/2*sqrt(3)

You can always use the rule: front=hypotenuse*sin of the degree
Side=hypotenuse*cos of the degree

Answer 2

The side of long is,
`5√(3)` units

Explanation:

This is the special right angle triangle
`30^(\circ) -60^(\circ)-90^(\circ)` 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
`√(3)` 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) =
`√(3) * S`

Substitute the values we get;

`L = √(3) * 5 = 5√(3)` units