Further Pure Mathematics 4PM1 / Surds and Logarithmic Functions / 1.201.20: Figure 1 shows the triangle Without using a calculator, find the value of and the value of4PM1/1/November/2023 — Question 1 · 4 marksMark as done · Save for laterFigure 1 shows the triangle ABC\displaystyle ABCABC∠ABC=90∘AB=(2+45)cmBC=(a+b5)cmwhereaandb are integers.\angle ABC = 90^\circ \quad AB = (2 + 4\sqrt{5}) \mathrm{cm} \quad BC = (a + b\sqrt{5}) \mathrm{cm} \quad \mathrm{where} a \mathrm{and} b \text{ are integers.}∠ABC=90∘AB=(2+45)cmBC=(a+b5)cmwhereaandb are integers.The area of triangle ABC=(34+115)cm2\text{The area of triangle } ABC = (34 + 11\sqrt{5}) \mathrm{cm}^2The area of triangle ABC=(34+115)cm2Without using a calculator, find the value of a\displaystyle aa and the value of b\displaystyle bb(4)▸ Mark scheme← 1.15: 4PM1/1/June/2023 — Question 61.21: 4PM1/1/November/2023 — Question 11 →
