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