Question

The base of a triangular field is thrice its altitude. If the cost of cultivating it at Rs 246.80 per hectare is 33331.80, then find its base and height.​

Answer 1

Answer:

Given:

• The base of a triangular field is thrice its altitude if the cost of cultivating it at ₹246.80 per hectare is ₹3331.80.

Find:

• Find its base and height.

Know terms:

• (b) = Base.

• (h) = Height.

Calculations:

⇒ 3331.80 = [246.80 × Area]

⇒ Area = [3331.80/246.80]

Using formula: Area of triangle:

⇒ [1/2 × b × h]

Finding the height of the triangle:

⇒ 3331.80/246.80 = 1/2 × b × h

⇒ 1110.6/123.4 = h²  

⇒ 9 = h²

⇒ √9 = h

⇒ 3 = h

Therefore, 3 is height of the triangle.

Finding the base of the triangle:

⇒ b = 3 (3)  

⇒ b = 9  

Therefore, 9 is base of the triangle.