Triangle $ACD$ is right-angled at $C$, with $CD=6$ cm. Point $B$ lies on $AC$. Given

Question

Triangle $ACD$ is right-angled at $C$, with $CD=6$ cm. Point $B$ lies on $AC$. Given $\angle BDC=35^\circ$ and $\angle ADC=55^\circ$, find $BC$, $AB$, the area of $\triangle ABD$. Give non-exact lengths, areas and other numerical values to 3 significant figures, and angles to 1 decimal place, unless otherwise stated.

Accepted Answer

(a) $4.20$ cm; (b) $4.37$ cm; (c) $13.1\text{ cm}^2$.

Two sight lines in a right-triangle figure

Two sight lines in a right-triangle figure

Solution:

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