Question

If 4cm, 8cm and 2cm are the measures of three lines segment. Can it be used to draw a triangle?
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Answer 1

Step-by-step explanation:

Solution: The triangle is formed by three line segments 4cm, 8cm and 2cm, then it should satisfy the inequality theorem.

Solution: The triangle is formed by three line segments 4cm, 8cm and 2cm, then it should satisfy the inequality theorem.Hence, let us check if the sum of two sides is greater than the third side.

Solution: The triangle is formed by three line segments 4cm, 8cm and 2cm, then it should satisfy the inequality theorem.Hence, let us check if the sum of two sides is greater than the third side.4 + 8 > 2 ⇒ 12 > 2 ⇒ True

Solution: The triangle is formed by three line segments 4cm, 8cm and 2cm, then it should satisfy the inequality theorem.Hence, let us check if the sum of two sides is greater than the third side.4 + 8 > 2 ⇒ 12 > 2 ⇒ True8 + 2 > 4 ⇒ 10 > 4 ⇒ True

Solution: The triangle is formed by three line segments 4cm, 8cm and 2cm, then it should satisfy the inequality theorem.Hence, let us check if the sum of two sides is greater than the third side.4 + 8 > 2 ⇒ 12 > 2 ⇒ True8 + 2 > 4 ⇒ 10 > 4 ⇒ True4 + 2 > 8 ⇒ 6 > 8 ⇒ False

Solution: The triangle is formed by three line segments 4cm, 8cm and 2cm, then it should satisfy the inequality theorem.Hence, let us check if the sum of two sides is greater than the third side.4 + 8 > 2 ⇒ 12 > 2 ⇒ True8 + 2 > 4 ⇒ 10 > 4 ⇒ True4 + 2 > 8 ⇒ 6 > 8 ⇒ FalseTherefore, the sides of the triangle do not satisfy the inequality theorem. So, we cannot construct a triangle with these three line-segments.

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Answer 2

Answer:

No..to form a triangle the sum of two smaller side should be greater than the Bigger side. i.e.

a cm +b cm> c cm