joeynvitina joeynvitina
  • 16-04-2020
  • Mathematics
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in a 45-45-90- triangle what is the length of the hypotenuse when the leg is 22 cm

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Hrishii
Hrishii Hrishii
  • 16-04-2020

Answer:

[tex] 22\sqrt 2 [/tex] cm

Step-by-step explanation:

[tex] in \: a \: 45 \degree - 45 \degree - 45 \degree \: \triangle \\ leg = \frac{1}{ \sqrt{2} } \times hypotenuse \\ \\ \therefore \: 22 = \frac{1}{ \sqrt{2} } \times hypotenuse \\ \\ \purple{ \bold{ \therefore \: hypotenuse = 22 \sqrt{2} cm}}[/tex]

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