Answer:
- [tex]b = \sqrt{ {c}^{2} - {a}^{2} } [/tex]
Step-by-Step Explanation:
In the given right-angled triangle, the largest angle is 90°. And side c is opposite to it, hence c is the hypotenuse.
Then, a and b are the leg sides of the triangle i.e. base and perpendicular. Then, By using Pythagoras theoram:
[tex] \longrightarrow{{a}^{2} + {b}^{2} = {c}^{2}} [/tex]
Now shifting a² by subtracting from both sides,
[tex] \longrightarrow{{b}^{2} = {c}^{2} - {a}^{2}} [/tex]
We need b, square rooting both sides
[tex]\longrightarrow{b = \sqrt{ {c}^{2} - {a}^{2} }} [/tex]
That is Option B. And we are done! :D
