is it possible
to have triangle with the following
angles and sides? Giver reason in support of
your answer.
b2 10cm 12cm, 2cm
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Answer:
Condition for a possible triangle
Sum of any sides MUST ALWAYS BE GREATER THAN THE THIRD SIDE
Now
- let a = 10 cm
- let b = 12 cm
- let c = 2 cm
Now let us try the conditions
For possible triangle
1st condition =
a+b > c (condition)
22 cm > 2 cm (correct)
Hence 1st condition is satisfied
2 nd condition =
b+c>a
14 cm > 10 cm (correct)
Hence 2nd condition is also satisfied
3 rd condition =
c + a > b
12 cm > 12 cm
Since the third condition is not satisfied so triangle is NOT POSSIBLE.
Hope it helps
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