Free · Geometry and function relationships
Scale or Compare Right Triangles
A positive scale factor multiplies all three corresponding sides. The angles stay equal, while the area multiplies by the square of the scale factor.
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Calculator inputs
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How to use this calculator
- Enter the known values in the units shown. Results update as you type.
- Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
- Use the worked example to check the method. Reset restores the starting fields.
Private by default
Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.
Formula and method
For a_triangle1 = 3, b_triangle1 = 4, scale_factor_known = 1, scale_factor = 2, a_triangle2 = 6, b_triangle2 = 8, c_triangle2 = 10, area_triangle2 = 24.
a₂=ka₁; b₂=kb₁; c₂=kc₁; A₂=k²A₁
Worked example
Enter these known values and leave the other values blank.
- Length of a (leg)
- 3 cm
- Length of b (leg)
- 4 cm
- 1
- Scale factor
- 2
- Length of c (hypotenuse)
- 5 cm
- Angle α
- 36.87 deg
- Angle β
- 53.13 deg
- Area of first triangle
- 6 cm²
- Length of a (leg)
- 6 cm
- Length of b (leg)
- 8 cm
- Length of c (hypotenuse)
- 10 cm
- Angle α
- 36.87 deg
- Angle β
- 53.13 deg
- Area of second triangle
- 24 cm²
Assumptions and limitations
- A positive scale factor multiplies all three corresponding sides. The angles stay equal, while the area multiplies by the square of the scale factor.
- Clear the unknown field before solving. Locks preserve known quantities; an inverse may have multiple solutions and this model selects its principal branch.
- Numerical rounding does not describe measurement uncertainty. Extremely large arguments or near-singular inverses can exceed the available precision; use moderate values for interpretable finite results.
Common questions
How do I enter a consistent set of values?
A positive scale factor multiplies all three corresponding sides. The angles stay equal, while the area multiplies by the square of the scale factor.
Can I calculate a missing input?
Clear that field and provide enough independent known quantities. Output-only fields and nonunique inverse branches may need a different mode.
References
The calculation equations, inverse formulas, units, and input rules were imported from this source. Bookify provides the interface and equation solver.
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