Side Angle Side Calculator
A triangle is defined as a closed figure or shape with 3 sides, 3 angles, and 3 vertices.
What is Side Angle Side Calculator?
'Side Angle Side Calculator' is an online tool that helps to calculate the area of the triangle. Online Side Angle Side Calculator helps you to calculate the area of the triangle within a few seconds.
Side Angle Side Calculator
NOTE: Enter the values up to three digits only.
How to Use Side Angle Side Calculator?
Please follow the steps below on how to use the calculator:
- Step 1: Enter the two sides and angle in the given input box.
- Step 2: Click on the "Calculate" button to find the area of the triangle.
- Step 3: Click on the "Reset" button to clear the fields and enter the new values.
How to Find Side Angle Side Calculator?
The area of the triangle is defined as the amount of space enclosed within the boundary of a triangle. It is measured in square units. The formula to calculate the area of the triangle is given by
Area of the triangle = 1/2(a*b*sinC) square units
Where 'a' and 'b' are the length of the sides of a triangle and C is an angle.
Solved Examples on Side Angle Side Calculator
Example 1:
Find the area of the triangle whose sides of the triangle are 5 units and 6 units and the angle is 30°
Solution:
Given: a = 5 units, b = 6 units, C = 30°
Area of the triangle = 1/2(a*b*sinC)
= 1/2 × 5 × 6 × sin30°
= 1/2 × 5 × 6 × 1/2
= 15/2
= 7.5 square units
Therefore, the area of the triangle is 7.5 square units.
Example 2:
Find the area of the triangle whose sides of the triangle are 7 units and 9 units and the angle is 30°
Solution:
Given: a = 7 units, b = 9 units, C = 30°
Area of the triangle = 1/2(a*b*sinC)
= 1/2 × 7 × 9 × sin30°
= 1/2 × 7 × 9 × 1/2
= 63/4
= 15.75 square units
Therefore, the area of the triangle is 15.75 square units.
Example 3:
Find the area of the triangle whose sides of the triangle are 11 units and 12 units and the angle is 60°
Solution:
Given: a = 11 units, b = 12 units, C = 60°
Area of the triangle = 1/2(a*b*sinC)
= 1/2 × 11 × 12 × sin50°
= 1/2 × 11 × 12 × √3/2
= 57.09 square units
Therefore, the area of the triangle is 57.09 square units.
Similarly, you can try the calculator to find the area of the triangle for the following:
- a = 7 units, b = 9 units, C = 45°
- a = 11 units, b = 12 units, C = 60°