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The Pythagorean theorem is a^2 + b^2 = c...

The Pythagorean theorem is `a^2 + b^2 = c^2`. Solbe for a.

A

`a = c - b`

B

`a= c^2 -b^2`

C

`a = sqrt(c -b)`

D

`a= sqrt(c^2-b^2)`

Text Solution

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The correct Answer is:
To solve for \( a \) in the Pythagorean theorem \( a^2 + b^2 = c^2 \), follow these steps: ### Step 1: Write down the Pythagorean theorem The Pythagorean theorem states: \[ a^2 + b^2 = c^2 \] ### Step 2: Isolate \( a^2 \) To solve for \( a^2 \), we need to isolate it on one side of the equation. We can do this by subtracting \( b^2 \) from both sides: \[ a^2 = c^2 - b^2 \] ### Step 3: Take the square root of both sides Next, we take the square root of both sides to solve for \( a \): \[ a = \sqrt{c^2 - b^2} \] ### Final Answer Thus, the value of \( a \) in terms of \( b \) and \( c \) is: \[ a = \sqrt{c^2 - b^2} \] ---
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