The construction that you can use to prove the Pythagorean Theorem based on similarity of triangles is 2nd construction. Please see the attached file.
To add, in mathematics, the Pythagorean theorem, also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It mentions that the sum of the squares of the other two sides is equal to the square of the hypotenuse (the side opposite the right angle).
Answer:
Therefore the lengths of the opposite side pairs.
C) 18, 9
Step-by-step explanation:
Given:
Quadrilateral ABCD is a parallelogram
AB = 6x
DC = x + 15
AD = 9
BC = 3y
TO Find:
AB = ?
BC = ?
Solution:
Quadrilateral ABCD is a parallelogram ..........Given
∴ Both pairs of opposite sides of a Parallelogram are congruent.
∴ AB = DC and AD = BC
substituting the values we get
substituting the x' and 'y' values we get
Therefore the lengths of the opposite side pairs.
C) 18, 9
