The second option, SSA, does not uniquely identify a triangle, except when the angle is equal to 90°. Thus, you can identify the triangle by the side length and the two angles on either side. Why? Because if you know two angles of a triangle, you automatically know the third angle since all three must add up to 180. The first option, AAS, is actually equivalent to ASA. Why Not AAS or SSA?You may wonder why there are no options for AAS (two adjacent angles and a side length not between the angles) or SSA (two adjacent sides and an angle not between the sides). Really Hard Questions with Answers If youre looking for some tough. The formula is as follows: A1/2(ab)sinC, where a and b are sides and C is their included angle. You can find the equations for triangular area in the related article, " How to Compute the Area of a Triangle: SSS, SAS, ASA, Base Height." The formulas for computing missing angles and side lengths can be found in the Trig and Angles Formula Sheet. The difficulty level of math equations depends on the age and level of the person. If the values of two sides and their included angle are known, then the SAS Area Formula can be used to find the area of the triangle. How the Calculator WorksThe calculator uses standard geometry and trig formulas. Otherwise, the result is the geometric mean of the non-missing values. If all the arguments are missing values, then the result is a missing value. If any argument is zero, then the geometric mean is zero. The calculator below computes the area and unknown angles and sides of a triangle if you input (i) two sides and the angle between-SAS, (ii) two angles and the side between-ASA, or (iii) all three side lengths-SSS. A message appears in the log that the negative argument is invalid, and ERROR is set to 1. It follows that if you know the SAS, ASA, or SSS values for a triangle, you can compute the missing sides and angles, as well as the area! Triangular laws of congruence state that two triangles are equivalent if they have the same values for side-angle-side (SAS), angle-side-angle (ASA), or side-side-side.
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