tmua 2017 Q20

tmua · Uk · paper1 1 marks Sine and Cosine Rules Prove an inequality or ordering relationship in a triangle

The lengths of the sides $Q R , R P$ and $P Q$ in triangle $P Q R$ are $a , a + d$ and $a + 2 d$ respectively, where $a$ and $d$ are positive and such that $3 d > 2 a$.
What is the full range, in degrees, of possible values for angle $P R Q$ ?
A $0 <$ angle $P R Q < 60$
B 0 < angle $P R Q < 120$
C 60 < angle $P R Q < 120$
D 60 < angle $P R Q < 180$
E 120 < angle $P R Q < 180$

& E

The lengths of the sides $Q R , R P$ and $P Q$ in triangle $P Q R$ are $a , a + d$ and $a + 2 d$ respectively, where $a$ and $d$ are positive and such that $3 d > 2 a$.

What is the full range, in degrees, of possible values for angle $P R Q$ ?

A $0 <$ angle $P R Q < 60$

B 0 < angle $P R Q < 120$

C 60 < angle $P R Q < 120$

D 60 < angle $P R Q < 180$

E 120 < angle $P R Q < 180$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20