Ratio of areas of ∆MNO, ∆MOP and ∆MPQ in the given figure is ______. - Mathematics

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Ratio of areas of ∆MNO, ∆MOP and ∆MPQ in the given figure is ______.

Options

  • 2:1:3

  • 1:3:2

  • 2:3:1

  • 1:2:3

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Solution

Ratio of areas of ∆MNO, ∆MOP and ∆MPQ in the given figure is 2:1:3.

Explanation:


We know that, area of triangle = `1/2` × base × height

So, area of triangle MNO = `1/2` × NO × MO

= `1/2` × 5 × 4

= `1/2` × 20

= 10 cm2

Area of triangle MOP = `1/2` × MO × OP

= `1/2` × 5 × 2

= `1/2` × 10

= 5 cm2

Area of triangle MPQ = `1/2` × MO × PQ  ......[MP = MO]

= `1/2` × 5 × 6

= `1/2` × 30

= 15 cm2

So, the ratio of area = 10:5:15  ......[Divide each by 5]

Then we get, 2:1:3

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Chapter 9: Perimeter and Area - Exercise [Page 269]

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NCERT Exemplar Mathematics Class 7
Chapter 9 Perimeter and Area
Exercise | Q 11. | Page 269

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