30-60-90 Triangle in Trigonometry

# 30-60-90 Triangle in Trigonometry

• 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.

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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 A triangle whose angles are 30°, 60°, and 90° Ratio of the sides are

What’s next?

In the next segment of Class 10 Maths, we will learn the trigonometric values of a 30° angle.

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