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SCORPION-xisa [38]
3 years ago
14

HELP PLEASE Solve The right triangle

Mathematics
1 answer:
Bumek [7]3 years ago
3 0

Answer:

  • WY = 2.2
  • m∠W = 63.4°
  • m∠Y = 26.6°

Step-by-step explanation:

It is convenient to use the Pythagorean theorem to find the hypotenuse, given the side lengths.

  WY² = WX² +XY²

  WY² = 2² +1² = 4 +1 = 5 . . . . . fill in the given numbers

  WY = √5

  WY ≈ 2.2

_____

It is convenient to use the tangent relation to find the angles.

  tan(W) = XY/XW = 2/1 = 2

  W = arctan(2) ≈ 63.4°

You can do likewise for angle Y, or you can simply find the complement of angle W. (The acute angles in a right triangle are complements of each other.)

  Y = 90° -W = 26.6°

The angle measures are ...

  • m∠W = 63.4°
  • m∠Y = 26.6°
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