a right triangle has a hypotenuse measuring 13 centimeters and one leg measuring 5 centimeters. What is the lenght in centimeteres , of the leg of the right triangle?

Respuesta :

Answer:

12 cm

Step-by-step explanation:

So the Pythagorean Theorem states [tex]a^{2} +b^{2} =c^{2}[/tex]

If we know what c and a are, we can solve for b by doing

[tex]b = \sqrt{c^{2} - a^{2}}[/tex]

or

[tex]b = \sqrt{{13^{2}-5^{2}}[/tex]

[tex]b = \sqrt{144}[/tex]

[tex]b = 12[/tex]

Answer:

12 cm

Step-by-step explanation: