Question

is it possible to have a triangle with the following angle and sides ? give reason in support your answer​

Answer 1

(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.