Question

the base of a triangular field is three times is its height if the cost of cultivating the field is at ₹ 36 per hectare is ₹ 486 find its base and height(1 hectare - 10000)​

Answer 1

Answer:

The base of triangular field is three times of its height. and cost of cultivating the field is 36 Rs. per hectare is 486.

To find : The base and height of triangular field.

solution : area of triangular field = total cost of cultivating the field/rate

here cost of cultivating the field = 486 Rs.

rate = 36 Rs/hectare

so, area of field = 486/36 = 13.5 hectare

we know, 1 hectare = 10000 m²

so, area of field = 13.5 × 10000 = 135000 m²

a/c to question,

base = 3 × height .......(1)

but area of triangle = 1/2 × base × height

so, area of field = 135000 m²

⇒1/2 × base × height = 135000 m²

⇒1/2 × 3 × height × height = 135000 m² [ from eq (1).]

⇒height² = 135000 × 2/3 = 90000 m²

⇒height = 300 m

base = 3 × height = 3 × 300 = 900 m

Therefore base = 900 m and height = 300 m

Step-by-step explanation: