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Carpentry & Joinery Phase 4 Module 2 Unit 4 Geometry Right Angle Triangle c a b 90° Sample Questions & Solutions

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Carpentry & Joinery Phase 4 Module 2 Unit 4Question Find the value of the angle A 100° 50° A

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Carpentry & Joinery Phase 4 Module 2 Unit 4Answer 180 – (100 + 50) 180 - 150 30° = 30° 100° 50° A

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Carpentry & Joinery Phase 4 Module 2 Unit 4Question Find the value of the angle E 80° 60° E

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Carpentry & Joinery Phase 4 Module 2 Unit 4Answer 180 – (60 + 80) = 40 so 180 – 40 140° = 140° 80° 60° E

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Carpentry & Joinery Phase 4 Module 2 Unit 4Question Find the value of the angles C + D if the 2 sides of the triangle are of equal length (isosceles) 50° C D

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Carpentry & Joinery Phase 4 Module 2 Unit 4Answer 180 – 50 = 130 so 130 ÷ 2 (equal angles) 65° = 65° 50° C D

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Carpentry & Joinery Phase 4 Module 2 Unit 4Question Find the size of the angles E,F and G if all sides of the triangle are equal in length G E F

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Carpentry & Joinery Phase 4 Module 2 Unit 4Answer E = 60° F = 60° G = 60° as all angles in an equilateral triangle are = 60° G EF

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Carpentry & Joinery Phase 4 Module 2 Unit 4Question In each of the following triangles, investigate whether or not the triangle is right-angled 14

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Carpentry & Joinery Phase 4 Module 2 Unit 4Answer (a) 16² + 30² = 34² (Pythagoras Theorem a² + b² = c²) so 256 + 900 = 1,156 Yes, a 90° triangle so 1,156 = 1,156 i.e. Yes, a 90° triangle (b) 12² + 14² = 18² so 144 + 196 = 324 No, not a 90° triangle so 340 = 324 i.e. No, not a 90° triangle (c) 80² + 18² = 82² so 6,400 + 324 = 6,724 Yes, a 90° triangle so 6,724 = 6,724 i.e. Yes, a 90° triangle

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