Question
Identify the special triangle given below.
- 45°-45°-90°
- 30°-60°-90°
- Equiangular
- Equilateral
Hint:
We are given a triangle. The two sides of the triangle are equal. The triangle is a right-angled triangle. We have to tell what type of special triangle it is.
The correct answer is: 45°-45°-90°
We are given an isosceles triangle. It has two sides same. It is a right-angled triangle.
Let the triangle ABC
One of the angle is 90°.
∠ABC = 90°
We will use the property of an isosceles triangle. The angles opposite to the equal sides are equal.
∠CAB = ∠ACB
Now, the sum of all angles of triangle is 180°
∠ACB + ∠ABC + ∠CAB = 180°
∠CAB + 90° + ∠CAB = 180°
2∠CAB = 90°
∠CAB = 45°
∠ACB = 45°
Therefore, the angle is 45°-45°-90°.
We should know different properties of right-angled triangle. We should also know about the different types of triangles.
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Find a in this 30-60-90 triangle.
For such questions, we should know about the properties of a right-angled triangle and 30°-60°-90° triangle. The alternate way to solve the above question is by Pythagoras theorem and trigonometric ratios.
Find a in this 30-60-90 triangle.
For such questions, we should know about the properties of a right-angled triangle and 30°-60°-90° triangle. The alternate way to solve the above question is by Pythagoras theorem and trigonometric ratios.
Find the value of x.
For such questions, we should know about the properties of a right-angled triangle and 30°-60°-90° triangle. The alternate way to solve the above question is by Pythagoras theorem.
Find the value of x.
For such questions, we should know about the properties of a right-angled triangle and 30°-60°-90° triangle. The alternate way to solve the above question is by Pythagoras theorem.
Find the length of u and v in this 30-60-90 triangle.
For such questions, we should know about the properties of a right-angled triangle and 30°-60°-90° triangle. The alternate way to solve the above question is by Pythagoras theorem.
Find the length of u and v in this 30-60-90 triangle.
For such questions, we should know about the properties of a right-angled triangle and 30°-60°-90° triangle. The alternate way to solve the above question is by Pythagoras theorem.
