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ICSE Class 10 Answered

Sir / mam can you please solve this problem on quadratic equations i need the answer urgently and with detailed steps .  If the perimeter of a right angled triangle is 40 cm and its hypotenuse is 2 cm longer than one side, find the lengths of the sides of the triangle.
Asked by abhi611 | 03 May, 2018, 10:29: AM
answered-by-expert Expert Answer
Let one of the side of a right angled triangle be x cm and other side be y cm.
Hypotenuse of right angled triangle is (x + 2) cm
Perimeter of a right angled triangle = 40 cm
x + x + 2 + y = 40
2x + y = 38
x = (38 - y ) / 2            ......(i)
Using Pythagoras,
x2 + y2 = (x + 2)2
Put value of x in the above equation we get y = 8 cm.
Hence, find value of y which is x = 15 cm
and hypotenuse is 10 cm
Answered by Sneha shidid | 03 May, 2018, 11:45: AM

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