Respuesta :

Answer: 375


Step-by-step explanation: If the problem was pythagorean theorem. Then I hope this explantion will help.

5 squared and 20 squared. 5 squared would get you 25 and 20 squared should get you 400. Then you should take 400-25=375. Your answer therefore is 375


I hope this helped!


For this case we have to:

The Pythagorean theorem states that:

[tex]a ^ 2 + b ^ 2 = c ^ 2[/tex]

Where:

a: Base of the triangle

b: It is the height of the triangle

c: It is the hypotenuse of the triangle

We have the following information:

[tex]a = 5\\c = 20[/tex]

We must clear b:

[tex]b ^ 2 = c ^ 2-a ^ 2[/tex]

[tex]b=\sqrt{(20^2)-(5^2)}\\b=\sqrt{(400-25)}\\b=\sqrt{375}[/tex]

Simplifying the root we have:

[tex]b=\sqrt{(25*15)}\\b=5\sqrt{15}[/tex]

Thus, the height of the triangle is given by:

[tex]b = 5\sqrt{15}[/tex]

Answer:

[tex]AB = 5\sqrt{15}[/tex]

ACCESS MORE
EDU ACCESS
Universidad de Mexico