Question

in a triangle, the longest side is double the shortest side and the third side is 3 cm less than the longest side. If the perimeter of triangle is 27 cm ,find all the sides of the triangle.​

Answer 1

ALet the shortest side of the triangle be x

And the longest side of the triangle be 2x

Given,

The third side is 3cm less than than the longest side. I.e. 2x - 3

We know,

Perimeter of a triangle = Sum of all its sides.

=> 72 = x + 2x + ( 2x - 3 )

=> 72 = 3x + 2x - 3

=> 72 + 3 = 5x

=> 75 = 5x

=> 75 / 5 = x

=> 15 = x

Therefore,

The shortest side of the triangle is 15 cm

The longest side of the triangle is ( 2 × 15 ) cm = 30cm

The third side of the triangle is ( 30 - 3 ) cm = 27 cm

Step-by-step explanation:

Answer 2

Answer:

longest=12, shorter=9, shortest=6

Step-by-step explanation:

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