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viktelen [127]
3 years ago
13

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

Mathematics
2 answers:
Olegator [25]3 years ago
8 0

<u>Answer</u><u>:</u>

  • b =  \sqrt{ {c}^{2}  -  {a}^{2} }

<u>S</u><u>t</u><u>e</u><u>p</u><u>-</u><u>b</u><u>y</u><u>-</u><u>S</u><u>t</u><u>e</u><u>p</u><u> </u><u>Explanation</u><u>:</u>

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

Monica [59]3 years ago
3 0

Answer:

The answer is b = √(c² - a²).

Step-by-step explanation:

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

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