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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 cm^{2}

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

= `1/2` × 5 × 2

= `1/2` × 10

= 5 cm^{2}

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

= `1/2` × 5 × 6

= `1/2` × 30

= 15 cm^{2}

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

Then we get, 2:1:3

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