The perimeter of an isosceles triangle is 14 cm. one of its sides is twice longer than another of its sides. find all sides of the triangle.

Triangle is isosceles , it means two sides of the triangle are equal

and perimeter = 14cm

Let the two equal sides = x cm each

One of its sides is twice longer than another of its sides.

It means Third side = 2x

Now perimeter - 14 cm

It means sum of all sides = 14 cm

So

x+x+2x = 14

4x=14

Divide both sides by 4

x= 3.5 cm

It means two equal sides are 3.5 cm each

and third side = 2(3.5) = 7 cm

So three sides of triangle are 3.5 cm , 3.5 cm , 7 cm

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(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47