Introduction on area of non right angle triangle:
The triangles other than the right triangle may be scalene triangle or isosceles triangle. The area of triangle, when all the sides are given is found by using the Heron’s formula. The other method for finding the area of the polygon is when the base and the height of the triangle are given. In the following article we will calculate the area of the non right angle triangle.
Area of Non Right Angle Triangle:
The formula for finding the area of the triangle with all the three sides known is calculated by using the Heron’s formula,
Heron’s formula = `sqrt [s(s-a)(s-b)(s-c)]`
`s = (a + b + c)/2`
The most common formula for calculating the area of the triangle = bh/2
Where, b is the base length and h is the height of the triangle.
The formula for finding the area of an equilateral triangle = `(sqrt 3* a^2)/2`
The formula for calculating the area when two sides and the opposite angle is known is = (ab sin C)/2
Example Problems on Area of Non Right Angle Triangle:
1. Find the area of the triangle if the two sides are 5cm and 7cm, the opposite angle to these sides is 35 degrees.
Solution:
Area formula = (ab sin C)/2
= (5*7* sin 35)/2
= `(35* sin 35)/2`
= `35* 0.574/2`
= 20.09/2 = 10.04 cm^2.
2. Find the area of the triangle with the sides 6cm, 7cm, 9cm.
Solution:
Area of the triangle =` sqrt [s(s-a)(s-b)(s-c)]`
`s = (a + b + c)/2`
= (6+7+9)/2
= 22/2
= 11
Area = sqrt [11(11-6)(11-7)(11-9)]
= sqrt [11*5*4*2]
= sqrt [11*40]
= `sqrt [440]`
= 20.98 cm^2.
I have recently faced lot of problem while learning Right Triangles, But thank to online resources of math which helped me to learn myself easily on net.
Practice problems on area of non right angle triangle:
1. Find the area of the triangle with height 7cm and base 6cm.
Solution: 21 cm^2.
2. Find the area of the triangle with sides 9cm and 11 cm and the angle opposite to them is 42 degrees.
Solution: 33.12 cm^2.
3. Find the area of a equilateral triangle with the side length of 5cm.
Solution: 21.65 cm^2
The triangles other than the right triangle may be scalene triangle or isosceles triangle. The area of triangle, when all the sides are given is found by using the Heron’s formula. The other method for finding the area of the polygon is when the base and the height of the triangle are given. In the following article we will calculate the area of the non right angle triangle.
Area of Non Right Angle Triangle:
The formula for finding the area of the triangle with all the three sides known is calculated by using the Heron’s formula,
Heron’s formula = `sqrt [s(s-a)(s-b)(s-c)]`
`s = (a + b + c)/2`
The most common formula for calculating the area of the triangle = bh/2
Where, b is the base length and h is the height of the triangle.
The formula for finding the area of an equilateral triangle = `(sqrt 3* a^2)/2`
The formula for calculating the area when two sides and the opposite angle is known is = (ab sin C)/2
Example Problems on Area of Non Right Angle Triangle:
1. Find the area of the triangle if the two sides are 5cm and 7cm, the opposite angle to these sides is 35 degrees.
Solution:
Area formula = (ab sin C)/2
= (5*7* sin 35)/2
= `(35* sin 35)/2`
= `35* 0.574/2`
= 20.09/2 = 10.04 cm^2.
2. Find the area of the triangle with the sides 6cm, 7cm, 9cm.
Solution:
Area of the triangle =` sqrt [s(s-a)(s-b)(s-c)]`
`s = (a + b + c)/2`
= (6+7+9)/2
= 22/2
= 11
Area = sqrt [11(11-6)(11-7)(11-9)]
= sqrt [11*5*4*2]
= sqrt [11*40]
= `sqrt [440]`
= 20.98 cm^2.
I have recently faced lot of problem while learning Right Triangles, But thank to online resources of math which helped me to learn myself easily on net.
Practice problems on area of non right angle triangle:
1. Find the area of the triangle with height 7cm and base 6cm.
Solution: 21 cm^2.
2. Find the area of the triangle with sides 9cm and 11 cm and the angle opposite to them is 42 degrees.
Solution: 33.12 cm^2.
3. Find the area of a equilateral triangle with the side length of 5cm.
Solution: 21.65 cm^2
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