Answer:
14. 20
15. 101
16. 260
Step-by-step explanation:
First of all, refer to the properties of a kite. If we use those, your kite will look like the image below:
Since ΔAED and ΔAEB are right triangles, you can use the Pythagorean Theorem to solve for x:
21² + x² = 29²
441 + x² = 841
x² = 400
√x² = √400
x = 20
Now that you have x, you can use the Pythagorean Theorem to solve for y:
20² + 99² = y²
400 + 9801 = y²
10201 = y²
√10201 = √y²
101 = y
y = 101
Now that you have y, you can find the perimeter of the kite:
P = [tex]side_{1}[/tex] + [tex]side_{1}[/tex] + [tex]side_{2}[/tex] + [tex]side_{2}[/tex]
P = 2 ([tex]side_{1}[/tex]) + 2 ([tex]side_{2}[/tex])
P = 2 (29) + 2( 101)
P = 58 + 202
P = 260
