22. The measure of one side of a right triangular field
is 4.2 m. If the difference of the lengthe of
hypotnense and the other is 14m, find the sides
of a triangle and its area.
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I think 4.2 m is not the right length because if you add any two sides of a triangle, it should be greater than the third side.
Here 4.2+(hypotenuse-14)=hypotenuse-9.8 which is shorter than the hypotenuse.
It probably reads 42.
Let x=length of the other side, then
x+14=hypotenuse
Apply Pythagoras theorem:
42²+x² = (x+14)²
Expand the right-hand side:
1764+x²=x²+28x+196
28x=1764-196=1568
which gives x=56
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