homework help 251

##= color(purple)(6cm^2##

A very frequently observed Pythagorean triplet is :
##color(red)(3,4,5##
This triplet perfectly fits the conditions provided in the question as :

Perimeter : ##3+4+5 = 12cm##
and, ##5cm## perfectly fits as the hypotenuse(as it is the largest of all sides)

So it is a right angled triangle of base and height: ##3,4##

Area of a right angled triangle :
##color(purple)(area = 1/2##(base.height)
##= 1/2(3.4)##
##= color(purple)(6cm^2##

Solution:

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