Question

Which equation could be used to solve for measure of side q in (Triangle) QRS shown below, given s=15*, S=45*, and Q = 105*?

Answer choices:
a) 15/sin 105* = q/sin45*
b) sin 105*/q = sin 30*/15
c) sin 105*/15 = sin 30*/q
d) q/sn 105* = 15/sin 45*

Answer 1

Answer:

q/sin105= 15/sin45

Step-by-step explanation:

Answer 2

Option-D is the required equation could be used to solve for measure of side 'q' in  triangle QRS.

What is a triangle?

A triangle is a two-dimensional geometrical figure. It has three sides, three interior angles, and three vertices.

Given, s = 15, ∠S = 45°, ∠Q = 105°

We know, the ratio of sine all the angles to the length of the opposite sides are always equal.

Therefore,

sin(∠Q)/q = sin(∠S)/s

⇒ q/sin(∠Q) = s/sin(∠S)

⇒ q/sin(105°) = 15/sin(∠45°)

Therefore, option-D is the required equation.

Learn more about a triangle here: https://brainly.com/question/16405253

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