Question

Two equal sides of a triangle are each 4 metres less than three times the third sides. If the perimeter of the triangle is 55 metres. find the length of its side​

Answer 1

there are 3 sides of traingle

each has 55 m

if one is 55 than

all are 55

so we 55+55+55=165

ans=165

Answer 2

Question-

Two equal sides of a triangle are each 4 metres less than three times the third sides. If the perimeter of the triangle is 55 metres. find the length of its side​

Answer-

• Let the third side of the triangle, which is the unequal one =  x
• Then the two equal sides = 3x - 4
• Perimeter = 55 m

Now,

   (x) + (3x - 4) + (3x - 4) = 55

⇒ x + 3x - 4 + 3x - 4 = 55

⇒ 3x + 3x + x - 4 - 4 = 55

⇒ 7x - 8 = 55

⇒ 7x = 55 + 8

⇒ 7x = 63

⇒ x = 63/7 = 9 m

The first and second side of the triangle = 3x - 4 = 3(7) - 4 = 21 - 4 = 17 m

The third side = x = 7 m