The area of triangle with base 2 cm to 5cm and height is 3√6

Find the height (h) of the triangle

To find the height (h) of the triangle, we can use the formula for the area of a triangle:

Area = (1/2) * base * height

Given that the base (b) is 2 cm to 5 cm and the area is 3√6, we can plug in these values into the formula:

3√6 = (1/2) * (2 cm to 5 cm) * h

Multiplying both sides of the equation by 2, we get:

6√6 = (2 cm to 5 cm) * h

To isolate h, we divide both sides of the equation by the range of possible base lengths (2 cm to 5 cm):

(6√6) / (2 cm to 5 cm) = h

The range of possible base lengths is 5 cm - 2 cm = 3 cm. Therefore, h is equal to:

(6√6) / 3 cm = 2√6 cm

So, the height of the triangle is 2√6 cm.

To find the height (h) of the triangle, we can use the formula for the area of a triangle:

Area = (1/2) * base * height

Given that the base of the triangle is 5 cm and the area is not provided, we cannot directly find the height. Without the area, we cannot accurately determine the height of the triangle.