Consider the parallelogram shown below.
The lengths of the sides are a and b.
The lengths of the diagonals are 2x and 2y.
Because the diagonals are both congruent and perpendicular, therefore there are two right triangles as shown.
Note that x = y.
Because x = y, each right triangle is isosceles and has the angles 90°, 45° and 45°.
From the Pythagorean theorem,
For one right triangle,
a² = x² + y² = x² + x² = 2x².
For the other right triangle,
b² = y² + x² = x² + x² = 2x²
Therefore
a² = b²
a = b
It follows that all sides of the parallelogram are equal and each angle is
45+45 = 90°
Therefore the parallelogram is a square.
Answer:
a^8 - 12a^4 + 36
= (a^4)^2 - 2*a^4*6 + 6^2
= (a^4 - 6)^2
The answer is actually 3 and 4.

lies between the two consecutive numbers 3 and 4.
I hope this helped! :))
Answer:
The answer is C or x=-4.
Step-by-step explanation:
I hope this helps!