Mathematics 4024 · O Level · Non-right-angled triangles
Non-right-angled triangles — practice question
A prism is shown with a rectangular base measuring $15\text{ cm}$ by $x\text{ cm}$. Its cross-section is a right-angled triangle. The prism's height is $4\text{ cm}$ less than its width. The volume comes to $440\text{ cm}^3$.
(a)[3]
Show that the equation is $3x^2 - 12x - 176 = 0$.
(b)[3]
Solve the equation $3x^2 - 12x - 176 = 0$. Show your working, and give the answers to $2$ decimal places.
(c)[1]
Determine the height of the prism.
(d)[4]
A line is drawn across the prism's surface from $B$ to $F$. Another line is drawn across the prism's surface from $A$ to $F$. Calculate angle $AFB$.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Equation is correct” …