TEKSL - žákovský projekt, matematika, výuka v čj, prezentace v aj

1. 20 January 2016, by Natálie Vnenková
„Pythagorean theorem“
This project was funded by European Union.
„Teaching: An effective key to self-learning“
for project:

3. The Pythagorean theorem was named after Pythagoras
form Sam. He was the first person who proved it.
This theorem was probably known also in China,
Egypt and before the Ancient Greece.

4. It states that the square of the hypotenuse
(the side opposite the right angle) is equal to
the sum of the squares of the other
two sides.
c2 = a2+ b2

6. 1) Try to calculate whether a triangle with sides 1.5 cm,
2 cm and 2.5cm long is right-angled.
2) What is the area of a triangle if one side is 3.5 cm
long and the diagonal measures 9.1 cm?

7. 1) For which triangle applies the Pythagorean theorem?
a) Any triangle b) An equilateral triangle c) A right triangle
2) If „c“ is the hypotenuse and legs are „a“ and „b“, which
equations stands for the Pythagorean theorem?
a) c2 = a2 + b2 b) c = a + b c) c2 = a2 - b2

8. 1) Yes, it is a right
triangle.
2) S = 29.4 cm2
Test: 1c, 2a

13. We saw this proof in the Science Museum in
Ostrava which we visited in January 2015 with
our international partners during the 1st project
meeting. There is a red liquid in the squares
and you can turn the wheel with the squares.