MCQ
It is not possible to construct a triangle when the lengths of its sides are:
- ✓$5.3\ cm, 2.2\ cm, 3.1\ cm$
- B$6\ cm, 7\ cm, 8\ cm$
- C$4\ cm, 6\ cm, 6\ cm$
- D$9.3\ cm, 5.2\ cm, 7.4\ cm$
✓
Answer
Correct option: A.
$5.3\ cm, 2.2\ cm, 3.1\ cm$
Put the sidesof triangle $a, b, c$
For a possible triangle the following are should possible.
$a + b > = c$
$b + c > = a$
$a + c > = b$
Here, $2.2 + 3.1 = 5.3$
So, $a + b = c$
So the triangle becomes a streight line.
So we cannot draw a triangle with sides $5.3\ cm, 2.2\ cm, 3.1\ cm.$
For a possible triangle the following are should possible.
$a + b > = c$
$b + c > = a$
$a + c > = b$
Here, $2.2 + 3.1 = 5.3$
So, $a + b = c$
So the triangle becomes a streight line.
So we cannot draw a triangle with sides $5.3\ cm, 2.2\ cm, 3.1\ cm.$
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