What is the greatest possible perimeter of a right angeled triangle with integer sides lengths if one of the sides has length 12?

Asked by vikasg13.hardware | 13th Jun, 2018, 12:01: PM

Expert Answer:

According to the triangle inequality,
Let x and y be the sides of the triangle
x + y > 12 and x - y < 12
One of the side of the triangle is 12 cm
x2 + 122 = y2 
x2 - y2 = 144
x = 13 and y = 5 OR x = 37 and y = 35 Satisfies all the three equations.
The greatest possible perimeter is 12 + 35 + 37 = 84 cm

Answered by Sneha shidid | 13th Jun, 2018, 04:41: PM