Congruent Angles Calculator Online

The Congruent Angles Calculator is a specialized tool designed to determine whether two triangles are congruent based on certain criteria. This tool is invaluable for students, educators, and professionals in architecture, engineering, and various scientific fields. It ensures precision in measurements and understanding, which are critical in these disciplines.

Formula of Congruent Angles Calculator

To establish congruency, the calculator uses several criteria:

• Three Sides (SSS): If all three sides of one triangle are congruent to those of another, they are congruent.
• Two Sides + Angle Between (SAS): Congruency is determined if two sides and the included angle of one triangle match another.
• Two Angles + Side Between Them (ASA) and Two Angles + Adjacent Side (AAS): These criteria involve matching two angles and one side, either between the angles or adjacent.

Formulas used:

• SSS: a1/a2 = b1/b2 = c1/c2
• SAS: a1/a2 = b1/b2 and angle C1 = angle C2
• ASA: angle A1 = angle A2, angle B1 = angle B2, and a1/a2 = b1/b2
• AAS: angle A1 = angle A2, angle B1 = angle B2, and a1/a2 = b1/b2

Table of General Terms

The following table includes terms that are commonly searched with respect to triangle congruency:

Term	Description
SSS	Side-Side-Side congruence criterion
SAS	Side-Angle-Side congruence criterion
ASA	Angle-Side-Angle congruence criterion
AAS	Angle-Angle-Side congruence criterion

Example of Congruent Angles Calculator

To fully understand the working of the calculator let us look at an example that will clear the concepts. Consider two triangles with the following dimensions:

• Triangle 1: Sides = 5, 3, 7 and Angles = 45°, 45°
• Triangle 2: Sides = 10, 6, 14 and Angles = 45°, 45° Using the calculator, input these measurements to determine if these triangles are congruent through the SSS criterion.

Most Common FAQs