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

Please help me to solve this

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

Please help me to solve this

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