Question 681872
A piece of land with an area of 2400 sq.m is in the shape of a right triangle with the hypotenuse 100m long. Find the two legs.
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a*b/2 = 2400 --> a = 4800/b
{{{a^2 + b^2 = 100^2}}}
Sub for a
{{{(4800/b)^2 + b^2 = 100^2}}}
{{{23040000 + b^4 = 10000b^2}}}
{{{b^4 - 10000b^2 + 23040000 = 0}}}
sub x for b^2
{{{x^2 - 10000x + 23040000 = 0}}}
(x - 3600)*(x - 6400) = 0
x = 3600, 6400
--> b = 60, 80
Legs are 60 & 80 meters