Cbse class 9 Maths

The perimeter of a right triangle is 12cm and it’s hypotenuse is of length 5cm. Find the other two sides and calculate its area .

Please help me to solve this :pray::pray::pray::pray::pray::pray::pray::pray::pray::pray::pray:

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Answer:

=6cm2
Explanation:

A very frequently observed Pythagorean triplet is :
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 :
area=12(base.height)
=12(3.4)
=6cm2

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