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Nesterboy [21]
3 years ago
12

If angle A =90 degree , b=1 cm and a =2 cm then solve the following right angled triangle ABC ​

Mathematics
1 answer:
Kruka [31]3 years ago
4 0

Answer:

  • Angle A = 90 degrees, side a = 2.
  • Angle B = 30 degrees, side b = 1.
  • Angle C = 60 degrees, side c = \sqrt{3}.

Side c:

  • If angle A is 90 degrees, side a is the hypotenuse.
  • c^{2} + b^{2} = a^{2} <--- <em>this is NOT the correct way to write the Pythagorean theorem. I changed it to fit the side lengths. Normally, it is </em>a^{2} + b^{2} = c^{2}<em>, where c is the hypotenuse. Since a is the hypotenuse, I switched the variables.</em>
  • c^{2} + (1)^{2} = (2)^{2}
  • c^{2} + 1 = 4
  • c^{2} = 3
  • c = \sqrt{3}

Finding the angles:

  • <em>In a 30-60-90 right triangle, the...</em>
  • <em>Shortest leg = x</em>
  • <em>Longest leg = </em>x\sqrt{3}<em> </em>
  • <em>Hypotenuse = 2x </em>
  • In this case, the shortest leg is 1, the longer leg is \sqrt{3} (or 1*\sqrt{3}), and the hypotenuse is 2 (or 2*1).
  • As a result, this is a 30-60-90 triangle -- angle B is 30 degrees while angle C is 60 degrees.
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