Question

Can someone help me figure out the reasoning and the answer please explain ?

Answer 1

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