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.
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.
2 answers:
Answer:
Step-by-step 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.
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