Question

Which expression finds the length of side b of this right triangle. PLEASE HELP. I’LL GIVE BRAINIEST

Answer 1

Answer:

• $b = \sqrt{ {c}^{2} - {a}^{2} }$

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:

$\longrightarrow{{a}^{2} + {b}^{2} = {c}^{2}}$

Now shifting a² by subtracting from both sides,

$\longrightarrow{{b}^{2} = {c}^{2} - {a}^{2}}$

We need b, square rooting both sides

$\longrightarrow{b = \sqrt{ {c}^{2} - {a}^{2} }}$

That is Option B. And we are done! :D

Answer 2

Answer:

The answer is b = √(c² - a²).

Step-by-step explanation:

For right angle triangle, you can apply Pythagoras Theorem where c² = a² + b² .