Question

Kate has a kite with the dimensions shown below. What is the value of X?

Answer 1

Hey there! :D

We will use the properties of similar triangles to figure this out. 

We will use two triangles inside the kite, with sides with the value of "x". 

Smaller triangle:

Smaller side= 11

Bottom side= x

Bigger triangle:

Smaller side= x

Bottom side= 25

$\frac{11}{x} = \frac{x}{25}$

Cross multiply. 

25*11= 275

x*x= $x^{2}$

Find the square root. 

√275= 16.583.... 

Or 5√11. 

I hope this helps!
~kaikers