TMUA Official 2017 Paper 1 · Question 20

Official papers

Official 2017 Paper 1 · Q20

Paper 1GeometryFunctions & graphs

The lengths of the sides $QR$ , $RP$ and $PQ$ in triangle $PQR$ are $a$ , $a+d$ and $a+2d$ respectively, where $a$ and $d$ are positive and such that $3d>2a$ .

What is the full range, in degrees, of possible values for angle $PRQ$ ?

0<\text{angle }PRQ<60

0<\text{angle }PRQ<120

60<\text{angle }PRQ<120

60<\text{angle }PRQ<180

120<\text{angle }PRQ<180

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