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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 > mC
mC > mA > mB
mC > mB > mA

The side lengths of triangle ABC are written in terms of the variable p where p 3Which is correct regarding the angles of the trianglemA gt mC gt mB mB gt mA gt class=

Respuesta :

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>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.