30-60-90 Triangle
See how to solve a 30-60-90 triangle.
2 examples and their solutions.
30-60-90 Triangle
Definition, Property
whose interior angles are 30º, 60º, and 90º.
The ratio of the sides is
1 : √3 : 2.
Example
x√3 = 21 - [2]
x√3 = 2
x = 2√3
[1]
Interior angles: 30°, 90°
→ This is a 30-60-90 triangle.
→ Draw a (1, √3, 2) triangle.
→ This is a 30-60-90 triangle.
→ Draw a (1, √3, 2) triangle.
[2]
These two triangles are similar.
So set a proportion by using the corresponding sides.
So set a proportion by using the corresponding sides.
Close
Example
x2 = 5√3
x = 2⋅5√3⋅√3√3 - [2]
= 10√33
[1]
Interior angles: 60°, 90°
→ This is a 30-60-90 triangle.
→ Draw a (1, √3, 2) triangle.
→ This is a 30-60-90 triangle.
→ Draw a (1, √3, 2) triangle.
Close