Pythagoras and his theorem
Answers are for parents and teachers.
1
The legs are 8 and 15. How long is the hypotenuse?
17
2
The hypotenuse is 25 and one leg is 7. How long is the other leg?
24
3
The sides of a rectangle are 20 and 21. How long is its diagonal?
29
4
The legs of a right triangle are in ratio 3 : 4 and the hypotenuse is 30. How long is the smaller leg?
18
5
State the Pythagorean theorem in your own words and explain it using areas of squares.
The area of the square on the hypotenuse equals the sum of the areas of the squares on the two legs.