Question

Find x special right triangle

Answer 1

• 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.
  `{u}^(2) = √((2)) ^(2) + {( √(2)) }^(2) \: \: \: (by \: \: pythagoras \: \: theorem)\\ => {u}^(2) = 2 + 2 \\ = > {u}^(2) = 4 \\ = > u = 2`

2

Hope you could understand.

If you have any query, feel free to ask.

Answer 2

This is a 45 45 90 triangle, so v=
`√(2)`. The side opposite the right angle in a 45 45 90 triangle is equal to the length of the other sides *
`√(2)`.

Therefore, u=2, because
`√(2)`*
`√(2)`=2. So, your answer is A, 2.

Explanation: