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 2 ...  prime number 84=2237 864=2533 GCD(2,84,864)=2  a242a+432=0  p=1;q=42;r=432 D=q24pr=42241432=36 D>0  a1,2=2pq±D=242±36 a1,2=242±6 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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