Question

Find th length of a using pythagorean theorem.

Answer 1

`a=12`

Explanation:

pythagorean theorem is
`a^2+b^2=c^2`

Where a and b are the legs and c is the long side or "hypotenuse"

First fill in what we know into the equation

`a^2+9^2=15^2`

Nowe simplify

`a^2+81=225\\`

Subtract both sides by 81

`a^2=144`

Square root both sides

`a=12`

Hope this helps please let me know if you have any questions

Answer 2

Answer: 12

Explanation:

A^2+9^2=15^2

A^2+81=225

A^2=(225-81)

A^2=144

`√(144)`=A

A=12