Area of triangle calculator
Area of a triangle calculator is a free online tool that helps you to find the area of a triangle when the lengths of base and height are given. A triangle is a type of closed polygon that has exactly 3 sides, 3 vertices, and 3 angles.
What is the Area of Triangle Calculator?
Area of triangle calculator computes the value of the area of a triangle when the height and base are known. Depending upon the known parameters as well as the type of triangle there are different methods to calculate the area of a triangle. To use the area of triangle calculator, enter the values in the input boxes.
How to Use Area of Triangle Calculator?
Follow the steps given below to calculate the area of a triangle using the area of triangle calculator.
- Step 1: Go to Cuemath's online area of triangle calculator.
- Step 2: Enter the values of the height and base in the input boxes of the area of triangle calculator.
- Step 3: Click on the "Calculate" button to find the area of the triangle.
- Step 4- Click on "Reset" to clear the field and enter new values.
How Does Area of Triangle Calculator Work?
The 2-dimensional space that is enclosed within the three boundaries of a triangle is known as the area of that triangle. Triangles can be classified based on the measure of their sides and angles as given below:
Based on Sides
- Equilateral triangle - all sides are of equal measure.
- Isosceles triangle - only two sides are equal in length.
- Scalene triangle - all sides are of unequal length.
Based on Angles
- Acute triangle - all internal angles are acute, that is, they measure less than 90 degrees.
- Right triangle - one angle is a right angle (measures 90 degrees).
- Obtuse triangle - one angle is greater than 90 degrees (obtuse angle).
If all sides of a triangle are known we use Heron's formula to calculate the area. In some special cases, we can also apply trigonometric formulas to find the area of a triangle. However, the easiest technique to find the area of the triangle is given by the base-height formula. This is written as follows:
Area of a triangle = 1/2 × base × height (or perpendicular height).
Solved Examples on Area of Triangle
Example 1: Find the area of the triangle whose base is 4 units and height is 7 units.
Solution:
Base = 4 units.
Height = 7 units
Area of triangle= (1/2 × base × height) square units
= 1/2 × 4 × 7 square units
= 14 square units
Therefore, the area of the given triangle is 14 square units.
Example 2: Find the area of the triangle whose base is 9 units and height is 16 units.
Solution:
Base = 9 units.
Height = 16 units
Area of triangle= (1/2 × base × height) square units
= 1/2 × 9 × 16 square units
= 72 square units
Therefore, the area of the given triangle is 72 square units.
Now, use the area of triangle calculator to find the area of the triangles with the following values of base and height:
- Base = 6 units and height = 9 units
- Base = 24 units and height = 22 unit
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