The value of JM is 40.
The square of the hypotenuse is equal to the sum of the square of base and square of perpendicular.
Given:
AK = 10
JK = 26
AM = 32
As, JKLM is a kite. And JL and KM are the diagonals.
Also, the diagonals of a kite perpendicularly bisects each other.
Thus, JL ⊥ KM.
Therefore, ΔJAK is right angled triangle.
Using Pythagoras theorem
JK² = KA² + AJ²
26² = 10² + AJ²
676-100= AJ²
AJ² = 576
AJ = 24
again using Pythagoras theorem
JM² = AM² + AJ²
JM² = 32² + 24²
JM² = 1600
JM= 40
Learn more about this concept here:
https://brainly.com/question/14240582
#SPJ1
