Question

if hypotenuse of a right angle triangle is 17 cm and difference between the other two sides is 7 cm then perimeter of triangle will be

Answer 1

Your answer is attached here.
Note: You can also use splitting method to solve the quadratic equation instead of Shreedharacharya formula which I have used in the answer.
Thanks.
Hope this helps you.

Answer 2

Let one side be x cm and another be x+7 cm
by applying Pythagoras theorem we get
the equation
$2 {x}^{2} + 14x - 240$

${x }^{2} + 7x - 120 = 0 \\ {x}^{2} + 15x - 8x - 120 = 0 \\ x = -15 \: and \: 8$
side cannot be in negative so take x= 8
the sides are 8cm,15 cm,17cm
perimeter is 40 cm