MATH CALCULATOR
Triangle Congruence Calculator
Determine triangle congruence using sides and angles with our online calculator.
What is the Triangle Congruence Calculator & How does it work?
Two triangles are congruent if all corresponding sides and angles are equal. There are several criteria for determining triangle congruence, including Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Hypotenuse-Leg (HL) for right triangles.For example, if two triangles have all three sides equal (SSS), they are congruent. Similarly, if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle (SAS), they are also congruent.
a = b quad text{and} quad c = d
a, b = lengths of two sides; c, d = lengths of corresponding sides
Parameters
Result—
Frequently Asked Questions
What does SSS mean in triangle congruence?
SSS stands for Side-Side-Side. Two triangles are congruent if all three corresponding sides are equal.
How do I use the SAS criterion to check triangle congruence?
For SAS, two sides and the included angle of one triangle must be equal to the corresponding parts of another triangle.
Can you explain what ASA stands for in triangle congruence?
ASA stands for Angle-Side-Angle. Two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.
What is the HL criterion used for in right triangles?
HL stands for Hypotenuse-Leg. It’s used for right triangles where the hypotenuse and one leg of one triangle are equal to the corresponding parts of another right triangle.
How do I determine if two triangles are congruent using this calculator?
Input the lengths of the sides and angles of both triangles. The calculator will use SSS, SAS, ASA, or HL criteria to determine if they are congruent.
What is the difference between SSS and SAS in triangle congruence?
SSS requires all three sides to be equal, while SAS requires two sides and the included angle to be equal.
Can this calculator handle right triangles specifically?
Yes, it can use the HL criterion for determining congruence in right triangles.
Results are for informational purposes only and do not constitute professional advice.