Question

measure of angle A equals 8x minus 2,measure of angle B equals 2x minus 8, andmeasure of angle C equals 94 minus 4x. List the sides of triangle ABC in order from shortest to longest.
side AC, side AB, side BC
side Ac, side BC, side AB
side AB, side AC, side BC
side AC, side BC, side AB

Answer 1

The sum of all the angles will be 180 as it always is in any triangle, so:

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

Can you solve this for "x"?

Answer 2

not sure how to sole for x i knoe i need to get x by its self but not sure how to do it

Answer 3

I'll help you through it.

Answer 4

ok thanks

Answer 5

(8x - 2) + (2x - 8) + (94 - 4x) = 180 ->

(8x + 2x - 4x) + (94 - 2 - 8) = 180 ->

6x + 84 = 180 ->

6x = 96 ->

x = 16

So,

A = 8(16) - 2 = 126
B = 2(16) - 8 = 24
C = 94 - 4(16) = 30

Now, the shortest side will be across from the smallest angle. The largest side will be across from the largest angle. I'll draw a picture while you study how I did the problem up to this point.

Answer 6

okay

Answer 7

AC is the smallest side
AB is the medium-length side
BC is the longest side.

And that's all there is to it!

Answer 8

is the hypotnuse always the longest side

Answer 9

The hypotenuse is the angle opposite the 90 degree angle in a right triangle. So, in a right triangle, the hypotenuse will be the longest side.

Answer 10

oh okay thank you i need to study this some more but you helped me see how to set up the problem

Answer 11

You're welcome!