1. You can divide the triangle shown in the figure attached in two right triangles with the length MR=8√3 and RO=8√3
2. Let's choose one of the triangles and then we must apply the Pythagorean Theorem, as below:
h²=a²+ b² ⇒ a=√ h²-b²
h: hypotenuse (the opposite side of the right angle and the longest side of the triangle).
a and b: legs (the sides that form the right angle).
3. We want to find one of the legs (The height NR), so we have:
h²=a² + b²
a²=h²-b²
a=√ h²-b²
a=√((16√3)²-(8√3 )²)
a=NR=8√3
Then, the answer is: The height of the triangle is NR=8√3 units
