TMUA 2017 Paper 1 Q20 — Worked Solution

P1·Trigonometry, Inequalities·7.0Official · 2017 · Q20

law-of-cosinestriangle-inequalityangle-range

The lengths of the sides

QR

R P

and

P Q

in triangle

P QR

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

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