Respuesta :

kawaiishadowwol

Answer:

12

Step-by-step explanation:

Pythagorean Theorem states that a^2 + b^2 = c^2. Using the numbers that you're given you should have an equation of a^2 + 9^2 = 15^2.

Once you square your terms you should have a^2 + 81 = 225

You can find a^2 by subracting b^2 from c^2. So 225 - 81 = 144

Then you find the square root of 144, which is 12.

faintlyflora

Answer:

a = 12

Step-by-step explanation:

The Pythagorean Theorem is: [tex]a^{2} + b^{2} = c^{2}[/tex]

So, let's input the values we know and solve for a.

b = 9   c = 15

[tex]a^{2}[/tex] + [tex]9^{2} = 15^{2}[/tex]

[tex]a^{2} + 81 = 225[/tex]

Subtract 81 from both sides to isolate the a: [tex]a^{2}[/tex] = 144

Find the square root of both sides to isolate the a: a = 12

The length of a is 12.