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In the Given Figure, Abcd is a Rectangle with Sides Ab = 10 Cm and Ad = 5 Cm. Find the Area of δEfg. - Mathematics

Answer in Brief

In the given figure, ABCD is a rectangle with sides AB = 10 cm and AD = 5 cm. Find the area of ΔEFG.

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Solution

Given: (1) ABCD is a rectangle.

(2) AB = 10 cm

(3) AD = 5cm

To find: Area of ΔEGF.

Calculation: We know that,

Area of Rectangle = 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 Rectangle ABCD and triangle GEF are between the same base and same parallels.

Hence,

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

                      `= 1/2 xx AD xx CD`

                     `= 1/2 xx 10 xx 5 `

                       = 25 cm2

Hence we get the result as Area of ΔGEF = 25 cm

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 14 Areas of Parallelograms and Triangles
Q 4 | Page 59
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