Land boundary

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

Correct result:

a =  24 m
b =  18 m

Solution:

$$\begin{gathered} c=30\text{ m } \\ o=72\text{ m } \\ {c}^2=a^2+b^2 \\ o=a+b+c \\ {c}^2=a^2+(o-a-c{)}^2 \\ 30^2=a^2+(42-a{)}^2 \\ 30^2=a^2+(42-a{)}^2 \\ 30^2=24^2+(42-24{)}^2 \\ a=a_1=24=24\text{ m} \end{gathered}$$

Our quadratic equation calculator calculates it.

$$\begin{gathered} b=a_2 \\ b=o-a-c=72-24-30=18\text{ m} \end{gathered}$$

Try calculation via our triangle calculator.

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