abcd is parallelogram. abde is a kite, ad= 18 cm and be = 10cm. find abcde
thanks :)
Is a "kite" a rhombus? I don't see where you can put point e to make abde a rhombus.
What kind of a figure is abcde? What do you want to "find" about it?
A figure is needed to make sense of this question.
To find the perimeter of the kite ABCDE, we need to determine the lengths of all the sides.
Given that ABCD is a parallelogram, we know that opposite sides are equal. Therefore, side AB is equal to side CD.
Also, since ABDE is a kite, we know that diagonal AD is equal to diagonal BE.
From the given information, we know that AD = 18 cm and BE = 10 cm.
Now, let's find the lengths of the remaining sides:
Since AB = CD and AD = BE, we can represent the sides of the kite as follows:
AB = CD = x (unknown)
AD = 18 cm
BE = 10 cm
We can use the Pythagorean theorem to find the missing side length. In a kite, the diagonals are perpendicular and bisect each other. This means that we can split the kite into four right-angled triangles.
Applying the Pythagorean theorem to one of these right-angled triangles, we have:
(AD/2)^2 + (AB/2)^2 = (BE/2)^2
(18/2)^2 + (x/2)^2 = (10/2)^2
9^2 + (x/2)^2 = 5^2
81 + (x/2)^2 = 25
(x/2)^2 = 25 - 81
(x/2)^2 = -56
Since the result is negative, there are no real solutions. Therefore, the given lengths do not form a valid kite.
Unfortunately, we cannot find the perimeter of the kite ABCDE with the given information.