In the diagram, $BCD$ is a straight line. Given that $AB = 7.5\text{ cm}$, \(BD = 18\text{

Question

In the diagram, $BCD$ is a straight line. Given that $AB = 7.5\text{ cm}$, $BD = 18\text{ cm}$, $AD = 19.5\text{ cm}$ and $BC = \frac{1}{3}BD$. Show that triangle $ABD$ is a right-angled triangle.[2] Find the length of $AC$.[2] Find the shortest distance from the point $B$ to the line $AD$.[2] Expressing your answers as fractions in the simplest form, find $\sin \angle ADC$,[1] $\tan \angle ACB$.[1]

Accepted Answer

(a) Right-angled at $B$. (b) $9.60\text{ cm}$. (c) $90/13\text{ cm}\approx6.92\text{ cm}$. (d)(i) $5/13$; (ii) $5/4$.

2023 BMSS EOY P2 Q9

2023 BMSS EOY P2 Q9

Solution:

Solution locked