If a right triangle has a hypotenuse of 12 inches and a leg of 5 inches,
how could you use the Pythagorean Theorem to find the missing side? What is the length of the missing side?

Respuesta :

Answer:

You can rearrange the expression to solve for the missing side. The missing side is 10.9087121 inches, or [tex]\sqrt{119}[/tex].

Step-by-step explanation:

The Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex] and you need to find the other leg which is, lets say, b. You can rearrange it to be [tex]b^2=c^2-a^2[/tex] with the Subtraction Property of Equality. If we substitute the values, [tex]\sqrt{12^2-5^2} = \sqrt{119}[/tex]. Then, [tex]\sqrt{119} = 10.9087121[/tex]. Hope this helps.