Question

Can you check my Geometry answer? The perimeter of triangle ABC is 30 feet. AB=5x-7; BC=3x+1; AC=4x. List the angles of triangle ABC in order from smallest to largest.

I got the answer of
My reasoning is that I got AB=8, BC=10, and AC=12. AB is opposite of C, which makes C the smallest angle. BC is opposite of A, which makes A the middle angle. And AC is opposite of B, which makes B the largest angle.

Answer 1

Yes, you're ok that's correct! :-)

Answer 2

Explanation:

It is given that perimeter of triangle=30 feet.

⇒AB+BC+CA=30

⇒5x-7+3x+1+4x=30

⇒12x-6=30

⇒12x=36

⇒x=3

therefore, AB=5x-7=5(3)-7=15-7=8

⇒AB=8

BC=3x+1=3(3)+1=9+1=10

⇒BC=10

CA=4x=4(3)=12

⇒CA=12

Therefore, AB is opposite of C, which makes C the smallest angle. BC is opposite of A, which makes A the middle angle. And AC is opposite of B, which makes B the largest angle.

Therefore, order of angles of triangle ABC is ∠C<∠A<B.