Question

Two equal sides of a triangle are each 4m less than three time the third side. find the dimension of the triangle if the perimeter is 55 cm. ​

Answer 1

Answer:

23 cm, 23 cm, 9 cm (I hope the 4m in your problem is a typo error because if it means 4 meter, the answers will be different)

Step-by-step explanation:

Let x be the 3rd side

Then one of the equal side will be 3x - 4

Side 1 = 3x - 4

Side 2 = 3x - 4

Side 3 = x

Perimeter is the sum of all the sides therefore

Side 1 + Side 2 + Side 3

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

Add all like terms it will be:

7x - 8 = 55

7x = 55 + 8

7x = 63 (Divide all by 7)

x = 9

Side 1 and Side 2 = 3x - 4

3(9) - 4

27 - 4

23

Side 3 = x

x = 9

Checking:

23 + 23 + 9

= 55

Our answer is correct! ;)