The length of the kites longer diagonal will be 40 units. Option C is correct.
What is the Pythagoras theorem?
Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle.
The digrame attached shows the length of all the sides as;
AB=37 units
BE = 12 units
BD = 13 units
BE = 12 units
To find:
The length of the kite’s longer diagonal, AD
From the figure it is observed the longest diagonal is the addition of the sides from the top of the triangle as;
From the triangle, AEB, according to Pythagoras theorem,
h²=p²+b²
AE² = AB²-BE²
AE²=37²-12²
AE=35 units
From the triangle according to Pythagoras theorem,
h²=p²+b²
DE²=BD²-BE²
DE²=13²-12²
DE = 5 unit
The length of the kites longer diagonal will be the sum of the two sides;
AD = AE+ED
AD= 35 + 5
AD = 40 units
The length of the kites longer diagonal will be 40 units.
Hence option C is correct.
To learn more about the pythagoras theorem refer to the link;
https://brainly.com/question/343682
#SPJ2
