Question

The area of an equilateral triangle is 576 dm2, then its
median is

1)243 dm
2)243 dm
3)123 dm
4)1234 dm​

Answer 1

243 dm answer of this question

Answer 2

Given:

The area of an equilateral triangle is 576 dm2

To find:

The median is

Solution:

From the given information, we have the data as follows.

The area of an equilateral triangle is 576 dm².

We are asked to find the value of the length of the median.

The formula that relates the median and the area of the equilateral triangle is given as follows.

If "x" represents the median, then the area is given as,

A = x²/√3

Substitute the value of the area given.

576 = x²/√3

x² = (576 × √3)

x = 31.58

Therefore, the length of the median is 31.58 dm.