Question

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!

Answer 1

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:

• A, B and C are the interior angles.
• a, b and c are the sides opposite the corresponding interior angles.

Given:

• m∠A = 44°
• side a = 12.6 cm
• side b = 19 cm

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.