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Perimeter of PAKE = 42 units

so PA + AK + KE + EP = 42 units

But, since PAKE is a parallelogram, PA = KE and EP = AK

which gives KE + AK + KE + AK = 42 units

or AK + KE = 42/2 = 21 units.

Now, perimeter of AKE = 33 units

that is AK + KE + EA = 33 units

But AK + KE = 21 units so 21 + EA = 33 units

so EA = 33 - 21 = 12 units.

Q: Parallelogram PAKE has diagonals PK and AE intersect at R perimeter of triangle AKE equals 33 perimeter PAKE equals 42 length of AE is?

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A parallelogram has adjacent equal sides. Diagonals of a parallelogram bisect each other,Opposite sides of a parallelogram are parallel and will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. Any line through the midpoint of a parallelogram bisects the area.

Only by the definition of a perimeter.

B+h*2 =9*-=423

No. An isosceles trapezium (isosceles triangle with its apex removed) would have congruent diagonals but it is not a parallelogram.

a triangle has three diagonals as well as three sides

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A parallelogram has adjacent equal sides. Diagonals of a parallelogram bisect each other,Opposite sides of a parallelogram are parallel and will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. Any line through the midpoint of a parallelogram bisects the area.

Only by the definition of a perimeter.

#1)The opposite sides of it are always parallel which is to say that they will never intersect. #2)Its area must be twice the area of a triangle created by one of its diagonals. #3)Its area is also equal to the magnitude of the vector cross product of two adjacent sides. #4)Its perimeter of a parallelogram is 2(a + b) where a and b must be the lengths of adjacent sides.

the triangle has the greater perimeter

it is a right triangle because a rhombus' diagonals are perpendicular

I don't know about the relation in the perimeters of a triangle and a parallelogram but if a triangle is on the same base on which the parallelogram is and the triangle is between the same parallel lines of the parallelogram, then the area of the triangle will be half the area of the parallelogram. That is, area of a triangle = 1/2 area of a parallelogram if the triangle is on the same base and between the same parallel lines.

B+h*2 =9*-=423

No. An isosceles trapezium (isosceles triangle with its apex removed) would have congruent diagonals but it is not a parallelogram.

There is no way to find perimeter from a 3D figure. However, you can find the perimeter of a side of a triangular prism by using perimeter formulas for a parallelogram or triangle.

The height is a perpendicular angle from the base. The sides of the parallelogram are slanted tho and this will vary for every parallelogram. To find the height you typically make a triangle with one of the slanted sides.

there is 2 diagonals in a triangle

A geometrical triangle has 3 sides but no diagonals.