Question

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

Answer 1

Answer:

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

Step-by-step 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

$\sqrt{b^2}=\sqrt{155}\\b=\pm\sqrt{155}\\b=\sqrt{155},b=-\sqrt{155}$

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