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How do i solve a SSA triangle?

Updated: 12/22/2022
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Q: How do i solve a SSA triangle?
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How many solutions could a triangle of a problem type ssa have?

An SSA type has two possible solutions.


Why is SSA not a congruent shortcut?

SSA is ambiguous. If A is not a right angle, then there are two possible configurations for the triangle. So they need not be congruent.


What is SSA in geometry?

It refers to the congruence of two sides and a non-included angle of one triangle with that of another. SSA does not imply congruence of the triangles.


Is it true triangles satisfying SSA are congruent?

No. SSA is ambiguous. Unless A = 90 degrees, there are two possible configurations for the triangle. So they need not be congruent.


What is ass or ssa congruence postulate?

The ASS postulate would be that:if an angle and two sides of one triangle are congruent to the corresponding angle and two sides of a second triangle, then the two triangles are congruent.The SSA postulate would be similar.Neither is true.


Is it possible to construct a triangle acruatly given ssa?

No, it is an ambiguous case: there are two possible configurations.


What formula do you use to find the perimerter of a SSA triangle?

An SSA triangle is ambiguous.Suppose the triangle is ABC and, with conventional labelling, you know a, b and angle A.Then by the cosine rule, a2 = b2 + c2 - 2bc*Cos(A)This equation will give rise to a quadratic equation in cwhich has 2 solutions. The perimeter is then a + b + c1 or a + b + c2


How can you solve an area of a triangle?

Area of a triangle = (1/2)(base)(height)


How do you solve for a right triangle?

Pythagorean theorum.


How do you solve an isosceles triangle?

It depends on the infoamtion that you have.


Why AA and SSA are no valid methods to prove triangles congruent?

Because you need information about all three parts of the triangle, either the side or the angle opposite it, for each of the sides of a triangle. In AA you are missing the third angle, you could have a triangle where both angles were the same but the height could be different giving you a taller or shorter triangle. In SSA, the angle would be the one opposite the first side, so you have no information about the third side


How could you solve for a leg of an equilateral triangle if you are given an angle?

You cannot solve for a leg in any triangle without at least one other side.