Question

Three sides of a triangles are
(2x+y) units, (3x-y) units and
(x+3y) units. Find its Perimeter​

Answer 1

As all the sides of an equilateral triangle are equal, 2x−3y+1=x+y−1 and x+y−1=3x−y−9. Hence

x−4y=−2,........(1)

2x−2y=8...........(2)

Multiplying (2) by 2 and subtracting (1) from it, we get 3x=18. Hence x=6.

Finally 2y=2x−8=2(6)−8=12−8=4. Hence y=2.

Thus the side of the triangle is x+y−1=6+2−1=7cm. Its perimeter is 3×7=21 cm.

Answer 2

Three sides of a triangles are

(2x+y) units, (3x-y) units and

(x+3y) units. Find its Perimeter