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Nina [5.8K]
3 years ago
9

What is the value of y?

Mathematics
2 answers:
nexus9112 [7]3 years ago
8 0
^^^ that also helped me thank you
babymother [125]3 years ago
3 0

Answer:

{y}  =  6\sqrt{3} \:units

Step-by-step explanation:

By Pythagoras Theorem:

{y}^{2}  =  {(9 + 3)}^{2}  -  {(6)}^{2} \\  \\   {y}^{2}  =  {(12)}^{2}  -  {(6)}^{2} \\  \\   {y}^{2}  = 144 -  36 \\  \\  {y}^{2}  = 108 \\  \\  {y}  =  \sqrt{108}  \\  \\  {y}  =  \sqrt{36 \times 3}  \\  \\ {y}  =  \sqrt{ {6}^{2}  \times 3}  \\  \\ {y}  =  6\sqrt{3}\:units

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