Table of Contents
- 30-60-90 Triangle
- Summary
- What’s Next?
In the previous segment, we learnt how to find the value of trigonometric functions. In this segment, we will learn about the 30-60-90 triangle and its importance in trigonometry.
What is a 30-60-90 triangle?
A 30-60-90 triangle is a triangle whose angles are 30°, 60°, and 90°.
The sides of this triangle are in a specific ratio of
Thus, if the side opposite to 30° measures 1 unit, then the side opposite to 60° will be units and the side opposite the right angle will be 2 units.
30°
60°
√3 units
2 units
1 unit
30-60-90 triangle
So, the side opposite to the larger angle in the triangle is larger than the side opposite to the smaller angle.
For example,
Consider △ABC.
∠B is a right angle, m∠A = 30°, and m∠C = 60°.
The three sides BC, AB, and AC are in the ratio of
A
B
C
30°
60°
√3a
2a
a
Triangle ABC
If BC = ‘a’, then AB = and AC = ‘2a’. That is, AC > AB > BC.
Summary
| 30-60-90 Triangle |
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What’s next?
In the next segment of Class 10 Maths, we will learn the trigonometric values of a 30° angle.
