Question

Please please help!! and if you could show work too that would be amazing!!!

Answer 1

AB, BC, AC

Explanation:

Hi there,

In order to solve this problem, we should know that the longest side of the triangle is always opposite of the largest angle in a triangle. The first step is to find the angle measures. We are given the measures of ∠A and ∠C.

To find m∠B, just subtract the sum of the other angles and subtract the value from 180.

m∠A + m∠C + m∠B = 180°

65° + 40° + m∠B = 180°

105° + m∠B = 180°

m∠B = 75°

Now that we know all of the angle measures, we can identify the the lengths of the sides from least to greatest by looking at the angle value. The greater the angle measure, the longer the opposite side would be.

m∠A = 65° ⇒ opposite of side BC = medium side

m∠B = 75° ⇒ opposite of side AC = longest side

m∠C = 40° ⇒ opposite of side AB = shortest side

Hope this explanation helps. Cheers.

Answer 2

First you would add the two angles together to get 105. The. you do 180-105 to get 75. That is the missing angle. From there you would correspond the angles with the sides. Therefore the answer is Angle AB, angle BC, angle CA. these are in order from shortest to longest