Step 1:

Length of wire is cm.

The wire is bent to form right angle triangle with hypotenuse of cm.

Draw a right angled triangle with hypotenuse of cm.

Using Pythagoras theorem,

..................equation(1)

The sum of all sides of triangle is

.

.

.

Step 2:

Substitute value in above equation(1)

Divide each side by 2.

.

Solve the equation by using factorization.

Apply zero product property.

and

and .

Step 3:

Substitute value in .

Substitute value in .

Solution:

The two sides of right angled triangle are

cm and cm.

cm  and cm.