Question

two sides of a triangle measure (3x-2)cm and (2x+5)cm and its perimetre is (9x-4)cm
if the perimetre of the triangle is 59cm,caculate the value of x and hence the length of each side of the triangle

Answer 1

Answer:

x = 7

1st side = 19cm

2nd side = 19cm

3rd side = 21cm

Please acknowledge if you understood

Step-by-step explanation:

9x - 4 = 59cm (Given)

So, on solving we get

9x = 59+4

x = 63/9

x = 7cm

1st side :

(3x - 2) = 3 x 7 - 2 = 19 cm

2nd side:

(2x + 5) = 2 x 7 +5 = 19cm

3rd side:

Perimeter of a triangle = length of 1st side + length of 2nd side + length of 3rd side

So,

59 = 19 + 19 + 3rd side

=> 3rd side = 59 - 38 = 21cm

In case they ask you the type of triangle, It's an isosceles triangle.