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
Of means multiply
is means equals
1/2 • x = -.25
Rewritten
.5•x=-.25
Inverse operations to isolate the variable.
x = -.25/.5
x = -.5
So 2 to the 3rd power is 8 and 2 to the -3 power would be negative 8.Now u multiply 8 and negative 8 and u get -64.So 2 to the to the -32 power should be the answer.hope this can help u!