Land boundary

The land has a shape of a right triangle. Its hypotenuse has a length of 30m. The circumference of the land is 72 meters. What are the sizes of the remaining sides of the land boundary?

Correct answer:

a =  24 m
b =  18 m

Step-by-step explanation:

c=30 m o=72 m  c2=a2+b2 o=a+b+c c2=a2+(oac)2  302=a2+(42a)2  302=a2+(42a)2  2a2+84a864=0 2a284a+864=0  p=2;q=84;r=864 D=q24pr=84242864=144 D>0  a1,2=2pq±D=484±144 a1,2=484±12 a1,2=21±3 a1=24 a2=18  a=a1=24=24 m

Our quadratic equation calculator calculates it.

b=a2  b=oac=722430=18 m

Try calculation via our triangle calculator.




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