Question

in triangleILK,side Lk is 3cm more than side il.if perimeter of triangle ilk is 32, then find the length of the greatest side.​

Answer 1

Answer:

9 cm

Step-by-step explanation:

Let the length of the shortest side of the triangle be x cm.

Then length of the longest side =3x cm.

Thus the length of the third side =(3x−2) cm.

Since the perimeter of the triangle is at least 61 cm,

x+3x+(3x−2) ≥ 61

⇒7x−2≥61

⇒7x≥61+2

⇒7x≥63

⇒x≥9

Thus the minimum length of the shortest side is 9 cm.

Answer 2

Answer:

13cm

Step-by-step explanation:

LK = IL +3

IK = IL + 5

IL +LK + IK = 32 IL + IL +3+IL + 5 = 32

3IL = 24

IL = 8 cm IK = 13 cm

LK = 11

Ik=13