Question

The perimeter of an isosceles triangle is 34 cm. One of its sides is 7 cm more than the other side. Find all three sides of the triangle.

Answer 1

let one side of triangle be x then one other side will also be x because it is an isosceles triangle.
Acc. to given condition
$other \: side \: is \: 7 \: more \: than \: one \: side \. : then \: (x + 7) \: is \: one \: side \\ then \: x + x + (x + 7) = 34 \\x + x + x + 7 = 34 \\ 3x + 7 = 34 \\ 3x = 34 - 7 \\ 3x = 27 \\ x = 27 \div 3 \\ x = 9 \\ then \: other \: side \: x + 7 = 9 + 7 = 16 \\ sides \: are \: 9 ,\: 9 ,\: 16$