Consequences of the theorem and the converse
Answers are for parents and teachers.
1
In the triangle 9, 40, 41, what is the sum of the squares of the two smaller sides?
1681
2
In the triangle 10, 24, 26, what is the sum of the squares of the two smaller sides?
676
3
A ladder 10 m long leans on a wall and its foot is 6 m from the wall. At what height (m) does it touch the wall?
8
4
A right triangle has hypotenuse 25 and a leg 24. How long is the other leg?
7
5
How can you check whether a triangle with given sides is right? Write it in your own words.
Compare the square of the longest side with the sum of the squares of the two others; if they are equal, the triangle is right.