Question
_____ side is the long leg in this 30-60-90 triangle.
- 4
- u
- v
- 4 + v
Hint:
We are given a right-angled triangle. We are given one of its angle. It is 60°. The other angle will be 30°. We are given the values of one of its side. The other sides are denoted by variables. We are asked the side that is the longer leg.
The correct answer is: v
Let the given triangle be ABC.
∠ABC = 90°
∠BAC = 60°
The sum of all angles of a triangle is 180°. Therefore, the remaining angle will be 60°
So, ∠BCA = 60°
It is 30°-60°-90° triangle.
AB = 4
BC = v
AC = u
The side opposite to the 30° angle is the small leg
The side opposite to the 60° angle is the long leg.
In the given question, the side opposite to 30° is AB. And the side opposite to 60° is BC.
So, the longer leg is BC. BC is denoted by the variable “v”.
The side ‘v’ is the long leg of 30°-60°-90° triangle.
For such questions, we should know the properties of a 30°-60°-90° triangle.
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