Question

Angle a equals 8X -2, angle B equals 2X -8 angle C equals 94 minus 4X list of the sides of triangle ABC in order from shortest to longest

Answer 1

Order of sides (shortest to longest):

CA < AB < BC

Explanation:

Given that,

∠A = 8x - 2

∠B = 2x - 8

∠C = 94 - 4x

We know that, sum of three angles in a triangle is 180

So, ∠A + ∠B + ∠C = 180

8x - 2 + 2x - 8 + 94 - 4x = 180

x = 16.

∠A = 126°

∠B = 24°

∠C = 30°

Here we know the measure of angles, largest angle's opposite side is longest.

It means ∠A is largest angle and opposite side of ∠A is BC.

Second largest angle is ∠C, and opposite side of ∠C is AB.

Order of side (shortest to longest) is:

CA < AB < BC.

That's the final answer.