Question

find the measure of each side of a triangle if two of the sides are equal in length. The third side is 1 1/3cm longer and the triangles perimeter is 5 2/5

Answer 1

Length oh two equal sides: 1 16/45 cm

Third side: 2 31/45 cm

length of two equal sides is x

`\text{Perimeter} = x + x + \huge \text( x + 1(1)/(3)\huge \text) = 3x + 1(1)/(3) = 5(2)/(5)`

`3x = 5(2)/(5) - 1(1)/(3) = (27)/(5) - (4)/(3) = (61)/(15)`

`x = (61)/(15)=\boxed{\bold{1(16)/(45)}}`

`\text{Third side} = (61)/(45) + (4)/(3) =(121)/(45) =\boxed{\bold{2(31)/(45)}}`