Question

Use the Pythagorean theorem to find b.

Answer 1

b=5

Explanation:

pythagorean theorem:

`a^2+b^2=c^2` where c is the hypotenuse.

In this case, we know a and c, so we have to solve for b:

`12^2+b^2=13^2\\=> 144+b^2=169\\=> b^2=169-144=25\\=> b=5`

Answer 2

To answer this question you must use Pythagorean theorem

`a^(2) +b^(2)=c^(2)`

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = 12

b = unknown

c = 13

^^^Plug these numbers into the theorem

`12^(2) +b^(2) =13^(2)`

solve for b

`b^(2)` + 144 = 169

`b^(2)` = 25

To remove the square from b take the square root of both sides to get you...

b = 5

Hope this helped!

~Just a girl in love with Shawn Mendes