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help plzzzzz! it's math and I'll give 30 points ​

Help Plzzzzz Its Math And Ill Give 30 Points class=

Sagot :

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.