Question
Identify the type of triangle shown bellow.
- 300 - 600 - 900
- 450 - 450 - 900
- 700 - 200 - 900
- None of the above
Hint:
We are given a right-angled triangle. We are given one of its angle. It is 30°. We are also given the length of hypotenuse. We are asked to find the type of the given triangle. We will use the properties of a triangle to find the type of the triangle.
The correct answer is: 300 - 600 - 900
Let the given angle be ABC.
∠ABC = 90°
∠ACB = 30°
Now, the sum of angles of a triangle is 180°
For this triangle,
∠ABC + ∠ACB + ∠BAC = 180°
90° + 30° + ∠BAC = 180°
120° + ∠BAC = 180°
∠BAC = 180° - 120°
∠BAC = 60°
The given angles of the triangle are 30°, 60° and 90°
Therefore, the given triangle is 30°-60°-90°.
For such questions, we should know the properties of a triangle.
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