Respuesta :

Answer:

b = 21

Step-by-step explanation:

a² + b² = c²        Use Pythagorean Theorem

72² + b² = 75²    Simplify

5184 + b² = 5625  

-5184         - 5184     Subtract

b² = 441                    Take the square root of both sides

b = 21

Answer:

b=21

Step-by-step explanation:

The Pythagorean theorem is: [tex]a^2 +b^2 =c^2[/tex]

We already have a and c so we have to rearrange for b.

[tex]b^2 = c^2-a^2[/tex]

We can put in the numbers we already have in a calculator to get:

[tex]b^2=(75)^2-(72)^2=441[/tex]

Then to get b we square root [tex]b^2[/tex]

[tex]\sqrt{b^2} = \sqrt{441} =21[/tex]