Using Pythagoras' theorem to justify a right-angled triangle

12 questions

1. Pythagoras’ theorem states that the sum of the squares of the two shorter sides of a __________ triangle is equal to the square of the hypotenuse.
2. Put the stages of working in order.
3. Work out the length of the hypotenuse.
4. Work out the length of x.
5. Select the correct answers for x.
6. A trapezium is formed by a right-angled triangle and a rectangle. Work out the length of the edge marked x.
7. If a triangle is right-angled this means...
8. If a triangle is right-angled then a^2+b^2=c^2 where...
9. A triangle has these three edge lengths: 13 cm, 18cm and 31 cm. Is it a right-angled triangle?
10. An isosceles triangle has these three edge lengths: 19\sqrt{2} cm, 19\sqrt{2} cm and 38 cm. Is it a right-angled triangle?
11. Here is a plan view of a room. There are two external walls; are they perpendicular?
12. Which of these triangles ABC, are right-angled?

License: OGL