0

Guest

Courses New

how how to find area of triangle

how how to find area of triangle

Grade:

1 Answers

AKASH GOYAL AskiitiansExpert-IITD
420 Points
13 years ago

Dear Nagendra

the formula for the area of a triangle is:
  or  
where b is the base, h 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. [IMAGE]
Solution:
A = · (15 in) · (4 in)
A = · (60 in2)
A = 30 in2
Example 2: Find the area of a right triangle with a base of 6 centimeters and a height of 9 centimeters. [IMAGE]
Solution:
A = · (6 cm) · (9 cm)
A = · (54 cm2)
A = 27 cm2
Example 3: Find the area of an obtuse triangle with a base of 5 inches and a height of 8 inches. [IMAGE]
Solution:
A = · (5 in) · (8 in)
A = · (40 in2)
A = 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.) [IMAGE]
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) · h
Multiplying both sides of the equation by 2, we get:
36 ft2 = (3 ft) · h
Dividing both sides of the equation by 3 ft, we get:
12 ft = h
Commuting this equation, we get:
h = 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: [IMAGE]
 
  or    where b is the base, h is the height

 

All the best.                                                           

AKASH GOYAL

AskiitiansExpert-IITD

 

Please feel free to post as many doubts on our discussion forum as you can. We are all IITians and here to help you in your IIT JEE preparation.

Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..

 

 

Think You Can Provide A Better Answer ?

Other Related Questions on Analytical Geometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More