Step 1a

To find the height of an equilateral triangle given its perimeter, we can use the formula: Height = \$(\sqrt(3) * "Side Length") / 2\$

Explanation: Here we find the formula.

Step 1b

Since the triangle is equilateral, all sides are of equal length. Let’s denote the side length as "s." The perimeter of an equilateral triangle is given by:
\$ Perimeter = 3 * "Side Length"\$

In this case, the perimeter is given as 103 units. We can set up the following equation:
103 = 3s

To find the side length, we divide both sides of the equation by 3: \$s = 103 / 3\$

s ≈ 34.3333

Explanation: Here we find the side of the length of the triangle.

Step 1c

Now, we can substitute the value of s into the height formula: \$Height = (\sqrt(3) * 34.3333) / 2\$
Height ≈ 29.8
Therefore, the height of the equilateral triangle is approximately 29.8 units.

Explanation: Here we find the height of the equilateral triangle.