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kingdukkwashere

Answer:

This is a 45 45 90 triangle, so v=[tex]\sqrt{2}[/tex]. The side opposite the right angle in a 45 45 90 triangle is equal to the length of the other sides * [tex]\sqrt{2}[/tex].

Therefore, u=2, because [tex]\sqrt{2}[/tex]*[tex]\sqrt{2}[/tex]=2. So, your answer is A, 2.

Step-by-step explanation:
  • We know, sum of all angles of a triangle is 180°.
  • So, 180° - (90+45)° = 45°
  • So, the angle which is not given is 45°.
  • The opposite angles of the triangle are equal, so the opposite sides of the triangle are also equal.
  • Therefore, v = √2.[tex] {u}^{2} = \sqrt{(2)} ^{2} + {( \sqrt{2)} }^{2} \: \: \: (by \: \: pythagoras \: \: theorem)\\ => {u}^{2} = 2 + 2 \\ = > {u}^{2} = 4 \\ = > u = 2[/tex]

Answer:

2

Hope you could understand.

If you have any query, feel free to ask.

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