Mathematics 4024 · O Level · Non-right-angled triangles
Non-right-angled triangles — practice question
For triangle $ABC$, $AC = 8.3$ cm and $\angle BAC = 105^\circ$. The diagram also represents quadrilateral $PQRS$. Here $SQ = 15$ cm, $\angle SPQ = 67^\circ$ and $\angle PQS = 74^\circ$.
(a(i))[2]
Construct triangle $ABC$. The line $AB$ has already been drawn.
(a(ii))[2]
Use appropriate measurements from your triangle to calculate the perimeter of triangle $ABC$.
(b(i))[3]
Calculate the value of $PS$.
(b(ii)(a))[3]
$\angle PSR = 96^\circ$ and triangle $QRS$ has area $63$ cm$^2$. Show that $SR = 10.0$ cm, correct to 1 decimal place.
(b(ii)(b))[3]
Calculate the value of $QR$.
Worked solution & mark scheme
This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate triangle” …