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Geometry

Geometry. 90°. c. a. Right Angle Triangle. Sample Questions & Solutions. b. Question. Find the value of the angle A. 100°. A. 50°. Answer. 180 – (100 + 50) 180 - 150 = 30°. 100°. A. 50°. Question. Find the value of the angle E. 60°. E. 80°. Answer.

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Geometry

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  1. Geometry 90° c a Right Angle Triangle Sample Questions & Solutions b

  2. Question • Find the value of the angle A 100° A 50°

  3. Answer 180 – (100 + 50) 180 - 150 = 30° 100° A 50°

  4. Question • Find the value of the angle E 60° E 80°

  5. Answer 180 – (60 + 80) = 40 so 180 – 40 = 140° 60° E 80°

  6. Question • Find the value of the angles C + D if the 2 sides of the triangle are of equal length (isosceles) 50° D C

  7. Answer 180 – 50 = 130 so 130 ÷ 2 (equal angles) = 65° 50° D C

  8. Question • Find the size of the angles E,F and G if all sides of the triangle are equal in length G F E

  9. Answer E = 60° F = 60° G = 60° as all angles in an equilateral triangle are = 60° G E F

  10. Question • In each of the following triangles, investigate whether or not the triangle is right-angled 14

  11. Answer (a) 16² + 30² = 34² (Pythagoras Theorem a² + b² = c²) so 256 + 900 = 1,156 so 1,156 = 1,156 i.e. Yes, a 90° triangle (b) 12² + 14² = 18² so 144 + 196 = 324 so 340 = 324 i.e. No, not a 90° triangle (c) 80² + 18² = 82² so 6,400 + 324 = 6,724 so 6,724 = 6,724 i.e. Yes, a 90° triangle

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