Question

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 > m C > mB 


mB > m A > mC
mC > m A > mB
mC > m B > mA

Answer 1

C

Explanation:

Answer 2

Answer: C) mC > mA > mB is correct regarding the angles of the triangle ABC.

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>AC

Angle 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.