Suppose you wish to apply ssa to a triangle, in order to find an angle measure. also suppose the given side opposite the given angle is less than the other given side. in addition, the ratio of the longer side to the shorter side, multiplied by the sine of the angle opposite the shorter side, is less than 1. which of the following statements is true? a. there will be infinitely many solutions for the angle. b. there will be zero solutions for the angle. c. there will be one solution for the angle. d. there will be two solutions for the angle.

Consider a triangle ΔABC, where sides AB, BC and angle ∡C are given.

Angle ∡C is the angle opposite of side AB.

It says that the given side opposite the given angle is less than the other given side. It means AB < BC.

It says that the ratio of the longer side to the shorter side, multiplied by the sine of the angle opposite the shorter side, is less than 1. It means

· sin(C) < 1

We know about Law of Sines of Triangle is given by :-

\\

We got sin(A) < 1, and BC > AB.

Therefore, angle ∡A could be either acute or obtuse angle.

So, There will be two solutions for the angle ∡A.

⇒ option D is the final answer.

$452.90 because you needed to round to the nearest cent

can someone me: the midsegment through the legs of an isosceles triangle is 4 in. find the sides of the triangle if its perimeter is 20 in. ,   and point g is the centroid of the right △abc with hypotenuse ab=18 in. find cg.