Question

Can you work out G and H for me please. preferably telling me how you did it aswell

Answer 1

Abd is a right angled triangle so by pythagoras we know
${g}^{2} = {11}^{2} + {13}^{2} \\ {g}^{2} = 290 \\ g = \sqrt{290} \: or \: g = 17.03cm$
and to calculate h we need to use the sine rule
$\frac{h}{ \sin(22) } = \frac{g}{ \sin(32) } \\ \frac{h}{ \sin(22) } = \frac{17.03}{ \sin(32) } \\ h = \frac{17.03}{ \sin(32) } \times \sin(22) \\ h = 12.04cm$
i hope this helps