Q:

The side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3.Which is correct regarding the angles of the triangle?mA > mC > mB mB > mA > mCmC > mA > mBmC > mB > mA

Accepted Solution

A:
Answer: C) mC > mA > mB is correct regarding the angles of the  triangle ABC.
Step-by-step explanation:Given: In Δ ABC, the side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3.AB=4p-1 , AC=p+4 , BC=3p where p+4 < 3p        [as p≥3]3p < 4p-1          [as p≥3]⇒  4p-1> 3p > p+4 ⇒AB>BC>ACAngle opposite to AB ,BC and AC is m∠C ,m∠A and m∠B.Therefore mC > mB > mA    [∵Angle opposite to greater side is greater]Thus , mC > mA > mB is correct regarding the angles of the  triangle ABC.