Work out the lengths of sides a and b.
Give your answers to 1 decimal place.

Step-by-step explanation:
[tex] {a}^{2} = {8}^{2} + {5}^{2} \\ {a }^{2} = 64 + 25 \\ {a}^{2} = 89 \\ a = \sqrt{89} = 9.4 \: cm[/tex]
[tex] {17}^{2} = {12}^{2} + {b}^{2} \\ {b}^{2} = {17}^{2} - {12}^{2} \\ {b}^{2} = 289 - 144 \\ {b}^{2} = 145 \\ b = 12 \: cm[/tex]