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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

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प्रश्न

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

संक्षेप में उत्तर

उत्तर

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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अध्याय 14: Areas of Parallelograms and Triangles - Exercise 14.4 [पृष्ठ ५९]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 14 Areas of Parallelograms and Triangles
Exercise 14.4 | Q 4 | पृष्ठ ५९
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