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It is frequently used in mapping surveys.
For example, if you want to find the distance to a mountain peak, you would find the direction to that peak from two locations and measure the distance between those two locations. Triangulation based on trigonometry for the ASA triangle would enable you to work out the distance to the mountain peak without having to go there.
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What dows angle-side-angle mean in math?
Angle-Side-Angle is also called ASA. ASA formula is used to determine congruency. It means that 2 triangles are congruent if 2 angles and the included side of one triangle are congruent to 2 angles and the included side of the other triangle.
What is the congruence throemand postulate of asa?
I assume "throemand" is your fail at spelling "theorem and".The theorem states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
What are the five triangle congruency theorems?
SSS, SAS, ASA, AAS, RHS. SSA can prove congruence if the angle in question is obtuse (if it's 90 degrees, then it's exactly equivalent to RHS).
What is the proof that equiangular triangle is also called equilateral triangle?
Label the triangle ABC. Draw the bisector of angle A to meet BC at D. Then in triangles ABD and ACD, angle ABD = angle ACD (equiangular triangle) angle BAD = angle CAD (AD is angle bisector) so angle ADB = angle ACD (third angle of triangles). Also AD is common. So, by ASA, triangle ABD is congruent to triangle ACD and therefore AB = AC. By drawing the bisector of angle B, it can be shown that AB = BC. Therefore, AB = BC = AC ie the triangle is equilateral.
What is triangle congruence theorem?
There are three main ways to prove to triangles congruent. If all the sides match, if a side then an included angle and the next side and last angle-side angle. SSS, SAS. ASA
