Respuesta :

Answer:

Step-by-step explanation:

a = [tex]\sqrt{12^2 -9^2} = \sqrt{144-81} = \sqrt{63}[/tex]

We use the minus because we are searching a leg.

A leg is always shorter than the hypotenuse

Answer:

a = 7.9 or a = √63

Step-by-step explanation:

a² + b² = c²

(The two shorter sides of a triangle are always a and b while the longer side will always be c)

So, here the longer side of this triangle is 12 and the shorter sides are 9 and a (unknown).

The equation is: a² + 9² = 12²

But to find the value of a, the formula will be 12² - 9² = a²

12² - 9² = a²

144 - 81 = a²

63 = a²

the square root of 63 = 7.9    so that means a = 7.9