Question

!PLEASE HELP ME WITH THIS PROBLEM SOMEBODY:(!
A triangle paddock has a road (AB)forming its longest side.AB is 13 km long.The AC and CB are at right angels. if BC is 400 m longer than AC.Find the area of the paddock in hectares?

Answer 1

so let AC be length x then CB is 0.4 km longer so CB = 1.4x



so using pythagoras's theorem you will have

\[13^2 = x^2 + (1.4x)^2\]

now just solve for x.

Answer 2

SO MY ANSWERS WILL BE X=-1.74371 AND +1074371

Answer 3

x can't be with "-" in geometry probelms. Why?

Answer 4

well only consider the positive answer... as measurements can't be negative

so

so x is 7.556 km... or 7556 metres...

so the base of the triangle is 7556 metres and the height is

7956 metres


so to find the area

\[A = \frac{1}{2} \times 7556 \times 7956 \]

to get the number of hectares.... use the conversion

1ha = 100 x 100 or 1ha = 10000 m^2

Answer 5

SO THEN IT EQUALS A=72386432

Answer 6

well I got the area as

A = 30057768 m^2

divide by 10000 to get the hectacres

Answer 7

A=3006M^2

Answer 8

well check the units.... ha... not m^2... but it seems to make sense...

Answer 9

so it wouldn't be on ^2

Answer 10

no the question asked for hectacres... where are just ha.. they are a measurement of area..