Answer:
[tex]\sqrt{45}[/tex]
Step-by-step explanation:
Hi there,
In order to solve this problem, you have to know the Pythagorean Theorem:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
We can see from the graph that line segment ML and LN are 6 and 3 units respectively. Since we know the lengths of two sides of the triangle, we can use the theorem above to find the hypotenuse (MN).
⇒ [tex]6^{2}[/tex] + [tex]3^{2}[/tex] = [tex]c^{2}[/tex]
⇒ 45 = [tex]c^{2}[/tex]
⇒ c = [tex]\sqrt{45}[/tex]
Hope this explanation helps. Cheers.
