Check Similarity In Right Triangles
Compare two right triangles to check similarity using leg ratios. Free online triangle similarity checker with step-by-step results and ratio comparison.
About This Calculator
This free online right triangle similarity checker compares two right triangles by their leg ratios (leg a / leg b). If the ratios match within a tolerance of 0.01, the triangles are considered similar, meaning they have the same internal angles but may differ in size.
The calculator shows the exact leg ratio for each triangle to four decimal places, making it easy to see how close the ratios are. This is a practical tool for geometry students learning the AA (Angle-Angle) similarity postulate applied to right triangles.
Frequently Asked Questions
How are right triangles checked for similarity?
We compare the ratios of the two legs for each triangle. If leg\u2081/leg\u2082 equals leg\u2081'/leg\u2082' (within a small tolerance), the triangles are similar and share the same acute angles.
What is displayed in the results?
The results show Yes/No for similarity, plus the leg ratio for each triangle (leg a / leg b). The ratios are displayed to four decimal places for precise comparison.
Can I use this for non-right triangles?
No, this calculator is specifically designed for right triangles. For general triangle similarity, you would need to check all three side ratios.
How precise is the similarity check?
The calculator uses a tolerance of 0.01 for the ratio comparison. If |ratio1 - ratio2| < 0.01, the triangles are considered similar.
What leg ratio is used for comparison?
The calculator compares the ratio of leg a to leg b for each triangle. For right triangles, if the two ratios are equal within a tolerance of 0.01, the triangles are similar. This is based on the AA similarity postulate since right triangles already share one 90 deg angle, so only one leg ratio needs to match.
What does it mean if two right triangles are similar?
Similar right triangles have the same three angle measures (90 deg and two acute angles) but different side lengths. Their sides are proportional and the ratio of corresponding sides is constant. Similar right triangles appear in trigonometry, where the acute angle determines the sine, cosine, and tangent ratios.
Is this tool free?
Yes, all calculators on Calculy are completely free to use with no registration required.