Question #7c58c

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Question #7c58c

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Answer 1 · 2015-06-20T09:13:08

$= 6 c m^{2}$ $= color(purple)(6cm^2$

Explanation:

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

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

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

Area of a right angled triangle :
$a r e a = \frac{1}{2}$ $color(purple)(area = 1/2$ (base.height)
$= \frac{1}{2} (3.4)$ $= 1/2(3.4)$
$= 6 c m^{2}$ $= color(purple)(6cm^2$

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