Kite Geometry Problem Pic included?

Question

http://img468.imageshack.us/img468/6849/3333333333333cu8.jpg

Answer 1

The diagonals of a kite are perpendicular which forms 4 right triangles. The legs of the one triangle are 3 and 4. Use the pythagorean theorem to find that the hypotenuse is 5.

Answer 2

Answers with Solutions

Qns. 1:

From the diagram, we can see Triangle AEB forming a right-angled triangle.

Therefore we can use the Pythagoras Theorem :

AB² = AE² + EB²
AB E= √ (AE² + EB²)
= √ (4² + 3²)
= √25
= 5 units

As a result, your choice is B.

Hope This Solutions Will Help In Answering Your Questions ;)

G0n9 G0n9™
Mathematician

Answer 3

Since side AB is congruent with side AD; and side BC is congruent with side CD the angle between BD and AC is 90 degrees.

If we look at the ABF triangle, we can see that it has a side that measures 3, and another side that measures 4. Thus the AB measures 5 (this is a notable triangle)

or by the theorem:

H^2= a^2 + b^2

H^2 = 3^2 + 4^2

H^2 = 9 + 16
H^2=25
H=25

Answer 4

5
as to Mr. Pythagoras:
a^2+b^2=c^2
16+9=c^2
25=c^2
5=c