Question

the hypotenuse of a right triangle shaped field is 20 metre and its altitude is 12 metre. find the cost of levelling the triangular field at the rate of rupees 1.50 per square metre​

Answer 1

Answer:

Rs 144. Please. Like. And comment

Answer 2

Pythagoras Theorem state that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

Recall:

$a^2 + b^2 = c^2$

$\text {area of a triangle = }\frac{1}{2} \times \text{base} \times \text{height}$

Find the length of the base:

$a^2 + b^2 = c^2$

$a^2 + 12^2 = 20^2$

$a^2 = 20^2 - 12^2$

$a^2 = 256$

$a = 13 \text { m}$

Find the area of the triangle:

$\text {area of a triangle = }\frac{1}{2} \times \text{base} \times \text{height}$

$\text {area of the triangle = }\frac{1}{2} \times 12 \times 13$

$\text {area of the triangle = } 78 \text{ m}^2$