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08-04-2019
Mathematics

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In the length of each leg of an isosceles triangle is 13 and the base is 24, the length of the altitude to the base is

Respuesta :

13-04-2019

Answer:

altitude = 5

Step-by-step explanation:

Look at the picture.

Use the Pythagorean theorem:

[tex]a^2+12^2=13^2[/tex]

[tex]a^2+144=169[/tex] subtract 144 from both sides

[tex]a^2=25\to a=\sqrt{25}\\\\a=5[/tex]

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