Question

Question #7c58c

Answer 1

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

Explanation:

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`