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`        how how to find area of triangle`
9 years ago 419 Points
```							Dear Nagendra

the formula for the area of a triangle is: or where is the base, is the height and · means multiply. The base and height of a triangle must be  	perpendicular to each other.  In each of the examples below, the base is a side of  the triangle.  However, depending on the triangle, the height may or may  not  	be a side of the triangle.  For example, in the right triangle in  Example 2, the height is a side of the triangle since it is  	perpendicular to the base.  In the triangles in Examples 1 and 3, the  lateral sides are not perpendicular  	to the base, so a dotted line is drawn to represent the height. Example 1:
Find the area of an  		acute triangle with a base of 15 inches and a height of 4 inches. Solution:   = · (15 in) · (4 in)  = · (60 in2)  = 30 in2

Example 2:
Find the area of a  		right triangle with a base of 6 centimeters and a height of 9 centimeters. Solution:   = · (6 cm) · (9 cm)  = · (54 cm2)  = 27 cm2

Example 3:
Find the area of an  		obtuse triangle with a base of 5 inches and a height of 8 inches. Solution:   = · (5 in) · (8 in)  = · (40 in2)  = 20 in2 Example 4:
The area of a triangular-shaped mat is 18 square feet and the base is 3 feet.  Find the height. 		(Note:  The triangle in the illustration to the right is NOT drawn to scale.) Solution:
In this example, we are given the area of a triangle and one dimension, and we are asked to work  		backwards to find the other dimension.   18 ft2 = · (3 ft) ·  Multiplying both sides of the equation by 2, we get: 36 ft2 =  (3 ft) ·  Dividing both sides of the equation by 3 ft, we get: 12 ft =  Commuting this equation, we get:  = 12 ft

Summary:
Given the base and the height of a triangle, we can find the area.  Given the area  	and either the base or the height of a triangle, we can find the other dimension.   	The formula for area of a triangle is:  or where is the base, is the height

All the best.
AKASH GOYAL

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```
9 years ago
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