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bonufazy [111]
3 years ago
8

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

Mathematics
1 answer:
torisob [31]3 years ago
3 0

Step-by-step explanation:

{a}^{2}  =  {8}^{2}  +  {5}^{2}  \\  {a }^{2}  = 64 + 25 \\  {a}^{2}  = 89 \\ a =  \sqrt{89}  = 9.4 \: cm

{17}^{2}  =  {12}^{2}  +  {b}^{2}  \\  {b}^{2}  =  {17}^{2}  -  {12}^{2}  \\  {b}^{2}  = 289 - 144 \\  {b}^{2}  = 145 \\ b = 12 \: cm

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