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In the given figure, find the area of ΔGEF. - Mathematics

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Question

In the given figure, find the area of ΔGEF.

 
Answer in Brief

Solution

Given: (1) ABCD is a rectangle.

(2) CD = 6 cm

(3) AD = 8cm

To find: Area of ΔGEF.

Calculation: We know that,

Area of Parallelogram = base × height

If a triangle and a parallelogram are on the same base and between the same parallels , the area of the triangle is equal to half of the parallelogram

Here we can see that Parallelogram ABCD and triangle GEF are between the same base and same parallels.

Hence,

Area of ΔGEF = `1/2` Area of Parallelogram ABCD

                       `= 1/2 xx AD xx CD `

                      `= 1/2 xx 8 xx6`

                        = 24 cm2

Hence we get the result as Area of ΔGEF =  24 cm2

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Chapter 14: Areas of Parallelograms and Triangles - Exercise 14.4 [Page 59]

APPEARS IN

RD Sharma Mathematics [English] Class 9
Chapter 14 Areas of Parallelograms and Triangles
Exercise 14.4 | Q 3 | Page 59
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