Online Triangle Area Calculator
How to use the triangle area calculator?
Follow these steps to use the triangle area calculator:
a If you enter the base length and height of the triangle, the area will be calculated.
b If you enter the area and height of the triangle, the base length will be calculated.
c If you enter the area and base length of the triangle, the height will be calculated.
Area of a triangle
The area of a triangle is the region contained within the sides of the triangle. The area of a triangle varies from one triangle to another, and it depends on the length of its sides.
Area of Triangle Formula
– When height and base of triangle are known
Area of triangle = \(\frac{1}{2}(b)(h)\)
where ‘b’ is the base length and ‘h’ is the height of the triangle, as shown in the diagram. The base and height are perpendicular to each other.
Solved Examples on Triangle Area Calculator
Example-1:
Find the area of the triangle given in the diagram.
Solution :
Given,
Base of the triangle = 14 m
Height of the triangle = 10 m
Area of the triangle = \(\frac{1}{2}×b×h\)
Where ‘b’ is the base and ‘h’ is the height of the triangle.
So, On substituting the value of base and height in the formula,
∴ Area of the triangle = \(\frac{1}{2}×10×14\)
= 5×14
= 70
Hence, the area of the triangle is 70 \(m^2\).
Example-2:
A field of area 120 \(m^2\) is in the shape of a triangle. Find the height of the triangular field, if the base length of the field is 3000 cm.
Solution :
Given,
Area of the field = 120 \(m^2\)
Base length of the field = 3000 cm
We know that 1 m = 100 cm
so, \(3000~ cm =\frac{3000}{100}=30~m\) [Convert the length from cm to m]
Area of the triangle = \(\frac{1}{2}×b×h\) [Write the formula for area of triangle]
120 = \(\frac{1}{2}×30×h\) [Substitute 120 for area and 30 for b]
\(\frac{120\times 2}{30}=h\)
8 = h
So, the height of the triangular field is 8 m.
There are three types of triangles on basis of their sides:
Isosceles Triangle : The triangle whose two sides are equal.
Equilateral Triangle :The triangle whose all sides are equal.
Scalene Triangle : The triangle whose all sides are unequal.
There are three types of triangles on the basis of their angles:
Acute Triangle: The triangle whose all three angles are less than 90°.
Obtuse Triangle: The triangle whose one angle is greater than 90°.
Right Angle Triangle: The triangle whose one angle is a right angle (90°).
An isosceles triangle can be a right triangle. The base and height of the right triangle will be equal. The one angle will be the right angle, and the other two angles must be of 45° measure.
An equiangular triangle is a type of triangle having three equal interior angles. Each of the interior angles of this triangle measures 60°.
The units of perimeter and area of triangles are different.
The units of perimeter of the triangle are of length. i.e., mm, cm, m, km and so on.
The units of area of a triangle are \(mm^2\), \(cm^2\), \(m^2\), \(km^2\) and so on.
In an equilateral triangle, all sides are of equal lengths, and the measure of all of its angles is equal to 60°. An equilateral triangle can be calculated using the formula:
Area of the equilateral triangle\( =\frac{\sqrt{3}}{4}\times{side}^2\)