Question

consider the right angled triangle with sides a=7,b=24 and , and . the area of this triangle is , which is divisible by the perfect numbers and . moreover it is a primitive right angled triangle as and . also is a perfect square. we will call a right angled triangle perfect if

Answer 1

A right angled triangle is said to be perfect if its sides by pythagoras theorem are perfect squares.

This is to mean :

a² + b² = c²

a² + b² should give us a perfect square.

From the values given :

a = 7

b = 24

c =?

7² + 24² = 625

c = √625 = 25

Given that 625 is a perfect square, this is a perfect right angled triangle.

Answer 2

Step-by-step explanation:

Consider the right angled triangle with sides a=7,b=24, and c=25.

The area of this triangle is 84, which is divisible by the perfect numbers 6 and 28.

Moreover, it is a primitive right angled triangle as gcd(a,b)=1 and gcd(b,c)=1.

Also, c is a perfect square.

We will call a right angled triangle perfect if

Hope its help..