The formula for the hypotenuse of a right triangle with legs of length a and b is shown.
what is b in terms of a and c?

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:

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

- Apply square root to both sides:

Then:

see explanation

Step-by-step explanation:

Given

c =

Square both sides

c² = a² + b² ( subtract a² from both sides )

c² - a² = b² ( take the square root of both sides )

= b

⇒ b =

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step-by-step explanation: