Answer:
The Length of JM is 20.
Step-by-step explanation:
Given,
JKLM is a kite in which JL and KM are the diagonals that intersect at point A.
Length of AK = 9
Length of JK = 15
Length of AM = 16
Solution,
Since JKLM is a kite. And JL and KM are the diagonals.
And we know that the diagonals of a kite perpendicularly bisects each other.
So, JL ⊥ KM.
Therefore ΔJAK is aright angled triangle.
Now according to Pythagoras Theorem which states that;
"The square of the hypotenuse is equal to the sum of the square of base and square of perpendicular".
On putting the values, we get;
On taking square root onboth side, we get;
Again By Pythagoras Theorem,
On putting the values, we get;
On taking square root onboth side, we get;
Hence The Length of JM is 20.
