How To Find The Missing Side Length Of A Triangle?

Use the Pythagorean theorem for right triangles: (a^2 + b^2 = c^2)

Identify the known sides and the missing side

Substitute the known values into the formula

Solve for the unknown side by isolating it

Take the square root if the missing side is squared

Use the Law of Sines if you know an angle and its opposite side

Use the Law of Cosines if you know two sides and the included angle

Use triangle angle sum: (A + B + C = 180^circ)

Use special triangle ratios for 30-60-90 triangles

Use special triangle ratios for 45-45-90 triangles

Check that the side lengths satisfy the triangle inequality

Verify the result matches the type of triangle given

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