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
1 answer:
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
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Substituting values:
Clearing CB we have:
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