Math, asked by karanpreet1119, 4 months ago

If a triangle and a parallelogram has the same dimension of base and height , What is the ratio of area of triangle is to area of parallelogram?​

Answers

Answered by Dhruv4886
1

The ratio of the area of the triangle to the area parallelogram is 1: 2

Given:

A triangle and a parallelogram have the same dimension of base and height  

To find:

The ratio of the area of the triangle to the area of the parallelogram

Solution:

Formula used:

Area of Triangle = (1/2) base × height

Area of a parallelogram = base × height  

Given that

The triangle and a parallelogram have the same dimension of base and height  

Let 'b' be the base of the triangle and parallelogram, and h be the height of the triangle and parallelogram.

By the given formulas,

Area of triangle = (1/2) × b × h

Area of the parallelogram = b × h

Thus,

Ratio of area of triangle and parallelogram

= Area of Triangle area: Area of Parallelogram

=  (1/2) × b × h : b × h  

The above ratio can be simplified as given below

=>  (1/2)bh : bh  

Multiply by 2

=> 2(1/2)bh : 2bh

=> bh: 2bh

Divide by bh

=>  bh/bh: 2bh/bh

=> 1 : 2    

Therefore,

The ratio of the area of the triangle to the area parallelogram is 1: 2

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