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Similar Triangles Scale Calculator

Find an unknown side using similar triangles.

Inputs

Results

Scale factor2.5
Matching side 220

Chart

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How to use the similar triangles scale calculator

Find an unknown side using similar triangles. Enter known side 1, matching side 1, known side 2 in the fields above; the scale factor, matching side 2 are computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Scale factor = b / a
Matching side 2 = c Γ— [Scale factor]

Variables

  • a β€” Known side 1
  • b β€” Matching side 1
  • c β€” Known side 2

Worked example

With known side 1 = 6, matching side 1 = 15, known side 2 = 8, the calculator gives scale factor β‰ˆ 2.5; matching side 2 β‰ˆ 20.

Frequently asked questions

What is the formula for the similar triangles scale calculation?

Scale factor = b / a. Matching side 2 = c Γ— [Scale factor]. Here a is known side 1, b is matching side 1, c is known side 2.

What inputs do I need for the similar triangles scale calculator?

You need known side 1, matching side 1, known side 2. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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