is it possible to have a triangle with the following angle and sides ? give reason in support your answer
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(a) 110° + 60° + 30°
Answer:
No, It is not possible. Sum of all angles of a triangle is 180°. But the following angles don't add up to 180°
⇛ 110° + 60° + 30° ≟ 180°
⇛ 200° ≠ 180°
( b ) 10 cm, 12cm, 2cm
Answer:
No, This is not possible.
Sum of two sides of a triangle should be greater than the third side.
⇛ 10cm + 12cm = 22cm
⇛ 22cm > 2cm
⇛ 12cm + 2cm = 14cm
⇛ 14cm > 10cm
⇛ 10cm + 2cm = 12cm
⇛ 12cm = 2cm
Sum of two sides ( 10cm and 2cm ) is not greater than the third side, so it's not possible.
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