Math  /  Geometry

QuestionPythogoras' theorem can be written as: a2+b2=c2a^{2}+b^{2}=c^{2} where a,ba, b and cc are lengths.
Rearrange this to make cc the subject of the formula.

Studdy Solution

STEP 1

1. We are given the equation a2+b2=c2 a^2 + b^2 = c^2 .
2. We need to rearrange the equation to solve for c c .

STEP 2

1. Isolate c2 c^2 on one side of the equation.
2. Solve for c c by taking the square root.

STEP 3

The equation is already in the form c2=a2+b2 c^2 = a^2 + b^2 , so c2 c^2 is isolated on one side.

STEP 4

To solve for c c , take the square root of both sides of the equation:
c=a2+b2 c = \sqrt{a^2 + b^2}
The formula with c c as the subject is:
c=a2+b2 \boxed{c = \sqrt{a^2 + b^2}}

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