1. For the triangle with sides 9 m and 12 m:
- a = 9, b = 12
- a² + b² = c²
- 9² + 12² = c²
- 81 + 144 = c²
- 225 = c²
- c = √225 = 15 m
2. For the triangle with sides 15 mm and 25 mm:
- a = 15, b = 25
- a² + b² = c²
- 15² + 25² = c²
- 225 + 625 = c²
- 850 = c²
- c = √850 ≈ 29.15 mm
3. For the triangle with sides 1.6 km and 2 km:
- a = 1.6, b = 2
- a² + b² = c²
- 1.6² + 2² = c²
- 2.56 + 4 = c²
- 6.56 = c²
- c = √6.56 ≈ 2.56 km
4. For the triangle with sides 3.6 m and 2.7 m:
- a = 3.6, b = 2.7
- a² + b² = c²
- 3.6² + 2.7² = c²
- 12.96 + 7.29 = c²
- 20.25 = c²
- c = √20.25 = 4.5 m
Parent Tip: Review the logic above to help your child master the concept of pythagorean theorem worksheet grade 8.