Question

A2 + B2 = C2:
13 squared plus b2 equals 18 squared. What is the answer? Please show the work.

Answer 1

Solving
`(13)^2+(b)^2=(18)^2` we get
`\mathbf{b=√(155),b=-√(155)}`

Explanation:

13 squared plus b2 equals 18 squared. What is the answer?

We can write it as:

`(13)^2+(b)^2=(18)^2`

Now, solving and find value of b

We know that 13² = 169

and 18² = 324

Putting values:

`(13)^2+(b)^2=(18)^2\\169+b^2=324`

Subtract 169 on both sides

`169+b^2-169=324-169\\b^2=155`

Now, taking square root on both sides

`√(b^2)=√(155)\\b=\pm√(155)\\b=√(155),b=-√(155)`

So, solving
`(13)^2+(b)^2=(18)^2` we get
`\mathbf{b=√(155),b=-√(155)}`