The base of a mid pyramid is triangle whose length of 3 sides are 28cm,25cm and 17cm. If the volume of pyramid be 1120 cu.cm then what will be its height

To find the height of the pyramid, we can use the formula for the volume of a pyramid:

Volume = (1/3) * base area * height.

Given that the volume of the pyramid is 1120 cu.cm and the base of the pyramid is a triangle, we first need to find the area of the triangle.

Using Heron's formula, we can calculate the area of the triangle:

s = (28 + 25 + 17) / 2 = 35 cm (where s is the semi-perimeter of the triangle)

Area = sqrt(s * (s - 28) * (s - 25) * (s - 17)).

After finding the area of the base, we can substitute the known values into the volume formula and solve for the height:

1120 = (1/3) * Area * height.

Let's calculate the area of the base and find the height of the pyramid.

Area = sqrt(35 * (35 - 28) * (35 - 25) * (35 - 17)) = sqrt(35 * 7 * 10 * 18) = sqrt(35 * 70 * 9) = sqrt(22050) ≈ 148.59 sq.cm.

1120 = (1/3) * 148.59 * height.

Multiplying both sides by 3:

3360 = 148.59 * height.

Dividing both sides by 148.59:

height ≈ 22.63 cm.

Therefore, the height of the pyramid is approximately 22.63 cm.