DP Further Mathematics HL Questionbank

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Directly related questions

• 18M.2.hl.TZ0.7a.iv: Hence show that the area of the triangle ABC is \(\frac{{abc}}{{4R}}\).
• 18M.2.hl.TZ0.7a.iii: Given that R denotes the radius of the circumscribed circle prove that...
• 18M.2.hl.TZ0.7a.ii: Prove that the area of the triangle ABC is \(\frac{1}{2}ab\,{\text{sin}}\,{\text{C}}\).
• 18M.2.hl.TZ0.7a.i: In a triangle ABC,...
• 17M.1.hl.TZ0.12b.iii: Explain briefly why this result shows that the three altitudes of a triangle are concurrent.
• 17M.1.hl.TZ0.12b.ii: Show, by expanding these equations, that (a – f ) \( \bullet \) (c – b) = 0.
• 17M.1.hl.TZ0.12b.i: Show that the position vector f of F satisfies the equations (b – f ) \( \bullet \) (c – a) =...
• 17M.1.hl.TZ0.12a.ii: Explain briefly why this result shows that the three medians of a triangle are concurrent.
• 17M.1.hl.TZ0.12a.i: Show that the position vector of E is \(\frac{1}{3}\) (a + b + c).
• 13M.1.hl.TZ0.3a: A triangle \(T\) has sides of length \(3\), \(4\) and \(5\).   (i)     Find the radius of the...
• 13M.1.hl.TZ0.3b: A triangle \(U\) has sides of length \(4\), \(5\) and \(7\).   (i)     Show that the...
• 12M.2.hl.TZ0.1A.a: the circumscribed circle.
• 12M.2.hl.TZ0.1A.b: the inscribed circle.