Question

Two equal sides of an isosceles triangle are
each 4 cm less than three times the third
side. Find the dimensions of the triangle, if
its perimeter is 55 cm.​

Answer 1

Step-by-step explanation:

if third side is x

then two sides are 3x - 4

as per the problem

3x - 4 + 3x - 4 + x = 55

3x- 8 = 55

7x = 55 + 8

7x = 63

x = 9

therefore the 3rd side = 9cm

1st side = 3×9 - 4 = 23

2nd side = 23

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Answer 2

Answer:

Dimensions of isosceles triangle = 9 cm, 23 cm and 23 cm

Step-by-step explanation:

Let the third side of isosceles ∆ is x cm.

According to the question,

Length of two equal sides = 3x - 4

It is given that,

Perimeter of isosceles triangle = 55 cm

=> x + 3x - 4 + 3x - 4 = 55

=> 7x - 8 = 55

=> 7x = 55 + 8

=> 7x = 63

=> x = 63/7

=> x = 9 cm

Therefore, third side of triangle is 9 cm.

___________________

Now, length of equal sides

=> 3(9) - 4

=> 27 - 4

=> 23 cm

Therefore, length of two equal sides is 23 cm each.