Question

10 POINTS!!!! Fast!!! Nick has designed a diamond-shaped kite as shown below. The measures of some sides of the kite are marked in the figure. Find the value of x. (JUSTIFY)
Show your work.. thanks

Answer 1

Answer: 3.5 in

Step-by-step explanation

∡DOC=90°

DC=7

OC=5

Using Pytagora equation:

DO=√DC²-OC²

DO=√49-25

DO=2√6

Use Equation for area of triangle:

area of ΔDOC=a*Ha/2

DC=a=7

Ha=x---hight of ΔDOC

Area of ΔDOC=DO*OC/2

2√6*5/2=5√6

5√6=7*x/2

10√6=7*x

x=10/7√6

x=24.5/7

X=3.5 in