Question

9. In ΔABC, m∠A = 4x, m∠B = 3x + 1, m∠C = 7x + 11. List the sides of ΔABC in order from shortest to longest.

AB;BC;AC
AC;BC;AB
BC;AB;AC
AC;AB;BC

Answer 1

WILL GIVE BEST ANSWER A MEDAL

Answer 2

We know that the total degree of a triangle is 180 so in order to find x we would add up all the angles and simplify....\[(4x) +(3x+1)+(7x+11)=180\]

Answer 3

That's what I did but I've got something that is not one of the options

Answer 4

Well I'll do it with you ^^....

So we would first combine like terms....so...\[4x+3x+7x+1+11=180\]which would simplify too...\[14x+12=180\]We then subtract 12 from each side to get 14x by itself....
\[14x=168\]We then divide by 14...so what would x be?

Answer 5

0.08333333333

Answer 6

Incorrect.... it would actually be 12... since 14 times 12 equals 168... Now we would input 12 where x is....and then we would find the smallest angle as well as the largest...

Answer 7

I thank you for the correction
I just need to find the small angles and the biggest angles.

Answer 8

So we input....

\[4(12)\]
\[3(12)+1\]
\[7(12)+11\]
Now we simplify...

Answer 9

<A+<B+<C=180, 4x+3x+17x+11=180,,,,,x=12 hence angles A,B C are 48,37,,95 in degres respectively

Answer 10

so whats the answer, amity?

Answer 11

Its best to understand than given an answer...

Answer 12

im sorry but I must go...

Answer 13

And @amity please dont give out the answer it would be in violation of the rules...

Answer 14

Sides opposite to the greater angle are greater in triangle by property of inequality hence answer will be AC,BC,AB....2nd option is correct

Answer 15

Sides opposite to the greater angle are greater in triangle by property of inequality hence answer will be AC,BC,AB....2nd option is correct

Answer 16

I am passing geometry now with a B!! I already turned in my test but I'm sure it will some how go down to a D. @amity @563blackghost