The area of parallelogram with base 2.5 cm height 3 cm equals to triangle its side length 5 cm Find the height of triangle.

(5/2)(3) = (1/2)(5)h

h = 3

To find the height of the triangle, we can use the formula for the area of a parallelogram.

The area of a parallelogram is given by the formula:

Area = base * height

In this case, the area of the parallelogram is given as 2.5 cm * 3 cm.

Area = 2.5 cm * 3 cm
Area = 7.5 cm^2

We are given that the area of the triangle is equal to the area of this parallelogram. So the area of the triangle is also 7.5 cm^2.

The formula for the area of a triangle is:

Area = (1/2) * base * height

We are given that the side length of the triangle is 5 cm. We can use this information to find the base of the triangle.

Since the triangle is an equilateral triangle (all sides are equal), each side is equal to the base. So the base of the triangle is also 5 cm.

Now we can substitute the values into the formula to find the height of the triangle:

7.5 cm^2 = (1/2) * 5 cm * height

To isolate the height, we can divide both sides of the equation by (1/2) * 5 cm:

height = 7.5 cm^2 / ((1/2) * 5 cm)
height = 7.5 cm^2 / 2.5 cm
height = 3 cm

Therefore, the height of the triangle is 3 cm.

To find the height of the triangle, we first need to determine its base. We can do this by using the given information that the parallelogram has a base of 2.5 cm.

The area of a parallelogram is calculated by multiplying the base by the height. In this case, the base is 2.5 cm and the height is 3 cm, so the area of the parallelogram is 2.5 cm * 3 cm = 7.5 cm².

Next, we are given that the triangle has a side length of 5 cm and its area is equal to the area of the parallelogram. The formula for the area of a triangle is 1/2 * base * height. Since we know the base length is 5 cm, we can substitute it into the formula: 7.5 cm² = 1/2 * 5 cm * height.

To solve for the height, divide both sides of the equation by 1/2 * 5 cm: height = 7.5 cm² / (1/2 * 5 cm) = 7.5 cm² / (2.5 cm) = 3 cm.

Therefore, the height of the triangle is 3 cm.