3 years ago

Answer if you know it if not go away

Mathematics

1 answer:

Greeley [361]3 years ago

5 0

Answer:

the answer is prolly E.

Step-by-step explanation:

also there u go..

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The formula for the hypotenuse of a right triangle with legs of length a and b is shown.

fomenos

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

Step-by-step explanation:

To solve the exercise you must solve for b from the formula for the hypotenuse, as you can see below:

- Square both sides of the equation as following:

$c^{2}=(\sqrt{a^{2}+b^{2}})^{2}$

- Now you must subtract a² from each side of the equation, then you obtain:

$c^2-a^{2}=a^{2}-a^{2}+b^{2}$

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

- Apply square root to both sides:

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

Then:

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

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