DUE IN A FEW MIN PLEASE HELP!!! SO CONFUSED! IM RUNNING OUT OF TIME AND DONT HAVE THE TIME TO TRY AND FIGURE IT OUT! PLEASE HELP! QUESTION DOWN BELOW!

Question

asked Oct 27, 2023 42.8k views

1 Answer

Chris Miles · Answer 1 · 2023-11-01T21:16:26+0000

Answer:

This is a ssa situation, no triangle is possible.

Explanation:

"SSA" means "Side, Side, Angle".

In an SSA triangle, we are given two sides and an angle that is not the angle between the given sides.

In triangle ABC:

Given:

The angle that is between the sides a and b is angle C.

Therefore, as angle A is not the angle between the given sides, ΔABC is an SSA triangle.

Law of Sines

$\sf (\sin A)/(a)=(\sin B)/(b)=(\sin C)/(c)$

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

To determine if any triangles are possible, substitute the given values into the Law of Sines to find angle B:

$\implies \sf (\sin 44^(\circ))/(12.6)=(\sin B)/(19)$

$\implies \sf \sin B=(19\sin 44^(\circ))/(12.6)$

$\implies \sf \sin B=1.0475007...$

As -1 ≤ sin B ≤ 1, there is no solution for angle B.

Therefore, although this is an SSA situation, no triangle is possible.