The Pythagorean theorem and its applications
Answers are for parents and teachers.
1
The legs of a right triangle are 20 cm and 21 cm. How long is the hypotenuse (cm)?
29
2
The sides of a rectangle are 9 cm and 40 cm. How long is its diagonal (cm)?
41
3
An isosceles triangle has legs 13 cm and base 10 cm. How long is the height to the base (cm)?
12
4
A ladder is 5 m long and its foot is 3 m from a wall. How high up the wall does it reach (m)?
4
5
Why is a triangle with sides 3, 4 and 6 obtuse?
3² + 4² = 25 < 36 = 6², so the angle opposite the longest side is greater than a right angle.