![]() ![]() Take one of the bases, because both bases are going But if you want to find theĪrea of any parallelogram, and if you can figure So if you want the totalĪrea of parallelogram ABCD, it is equal to two times one And if we wanted toĪltitude down like this. Same thing as the area of ADC because they are congruent,īy side, side, side. It's equal to the area of ADC plus the area of CBA. To the area of triangle- let me just write it here. So if I want to find the area ofĪBCD, the whole parallelogram, it's going to be equal That the areas of these two triangles are going Three corresponding sides that are congruentĬongruent to each other. Pink, and then I went D, and then I went the last one. So I wentĪlong this double magenta slash first, then the So it's going to beĬongruent to triangle- so I said A, D, C. Write this in yellow- we could say triangle ADC isĬongruent to triangle- let me get this right. Triangles share this third side right over here. I'll draw a diagonal AC- we can split our parallelogram So this length isĮqual to this length, and this length is equal So what do we knowĪbout parallelograms? Well, we know the opposite And a rhombus isĭiagonals of any parallelogram. In the last video, we talkedĪrea of a rhombus. And what I want toĭiscuss in this video is a general way of finding RHS (Right-angle-Hypotenuse-Side): If two right-angled triangles have their hypotenuses equal in length, and a pair of shorter sides are equal in length, then the triangles are congruent. ![]() (In British usage, ASA and AAS are usually combined into a single condition AAcorrS - any two angles and a corresponding side.) In the School Mathematics Study Group system SAS is taken as one (#15) of 22 postulates.ĪAS (Angle-Angle-Side): If two pairs of angles of two triangles are equal in measurement, and a pair of corresponding non-included sides are equal in length, then the triangles are congruent. In most systems of axioms, the three criteria-SAS, SSS and ASA-are established as theorems. The ASA Postulate was contributed by Thales of Miletus (Greek). SSS (Side-Side-Side): If three pairs of sides of two triangles are equal in length, then the triangles are congruent.ĪSA (Angle-Side-Angle): If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent. ![]() SAS (Side-Angle-Side): If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent. SSS is basically Side-Side-Side used to explain how you tell this is a congruent triangle. ![]()
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