Question

The base of a triangular corner table is thrice its altitude.If the cost of polishing its surface at the rate of ₹25 per 10 cm² is 1960, find its base and altitude.
Solve step by step​

Answer 1

Answer: Given that Base b = 3 h [height]

and cost of painting 1960 ₹ = 25₹ per 10 cm^2

=>[Area x 25]/10=1960

=>Area = 784 cm^2

Therefore , 0.5 x b x h = 784

=>0.5 x 3h x h = 784 .......{Given b = 3 h}

=>h=22.8 cm

=>b=68.5 cm

Therefore the base is 68.5 cm and the height is 22.8 cm.

Hope the answer was helpful.

Answer 2

Let, the altitude of the triangular corner table be x(h)

Then, base of the triangular corner table be 3x(b)

Area of the triangular corner table= 1/2 bh

1/2×3x×x

3x²/2 area of the triangular corner table

According to the problem

3x²/2(1/10)×25=1960

x²=456

x=22.8619042733