The perimeter of a triangle is greater than 9 units and
less than 111 units. If its each side has a length
which is a prime factor of 222, then the triangle is
always alan
(1) Equilateral triangle (2) Isosceles triangle
(3) Scalene triangle (4) Right angled triangle
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Answer:
Option (2) Isosceles Triangle
Step-by-step explanation:
222 can be factorised as
222 = 2 × 3 × 37
Now if the sides are taken as 2, 3, 37 then the triangle is not possible because the sum of two sides is not greater than the third side
Since the perimeter of the triangle is between 9 units and 111 units
It can be possible only when triangle has sides 3, 37, 37 or 2, 37, 37
In either case, the triangle will be isosceles
Hope this helps.
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