This question was previously asked in

Punjab Patwari Previous Paper 2 (Held On: 20 Nov 2016 )

- 20
- 5
- 15
- 12

Option 1 : 20

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**Given:**

Ratio of base and height of the triangle is 3 : 4 and area of the triangle is 150 cm^{2}

**Concept Used:**

If base of a triangle is 'b' and height be 'h' then area of the triangle is (1/2) × b × h

**Calculation:**

Ratio of base and height of the triangle is 3 : 4

Let, base be 3x and height be 4x

Accordingly,

(1/2) × 3x × 4x = 150

⇒ 6x^{2} = 150

⇒ x^{2} = 25

⇒ x = 5

Height of the triangle is 4x = 4 × 5 = 20 cm

**∴ The height of the triangle in cm is 20 cm.**

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