1.

One side of a right angle triangle is 2 centimetre then the other and to centimetre less than the hypotenuse how long are the three sides

Answer» LET the one side be x
Then other side is x-2 and the hypotenuse is x+2
Then by PYTHAGORAS THEOREM,we have
{(x)}^{2} + {(x - 2)}^{2} = {(x + 2)}^{2}
{x}^{2} + {x}^{2} - 4x + 4 = {x}^{2} + 4x + 4
{x}^{2} = 8x the SIDES are
X=8
X-2=6
and X+2 =10

So the sides of the triangle are 6cm,8cm and 10cm.


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