Question

Maggie constructs a triangle with sides lengths 7 centimeters long and 10 centimeters long.

Answer 1

7 centimeters is a possible length for the third side ⇒ B

Step-by-step explanation:

Let us revise the triangle Inequality Theorem

• The sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side
• To prove that by easy way add the smallest two sides, if their sum greater than the third side,then the sides can form a triangle

Assume that the length of the third side is x cm

∵ The length of two sides are 7 cm and 10 cm

∵ The length of the third side is x cm

- Put the sum of x and 7 greater than 10 ( x and 7 are the smallest sides)

∴ x + 7 > 10

- Subtract 7 from both sides

∴ x > 3

- Put the sum of 7 and 10 greater than x (7 and 10 are the smallest sides)

∵ 7 + 10 > x

∴ 17 > x

∴ x < 17

- By using one inequality for x (combined the two inequalities in one)

∴ 3 < x < 17

That means the length of the third side is any number between 3 and 17

There is only one answer between 3 and 17

∵ 7 is between 3 and 17

∴ The length of the third side could be 7 cm

7 centimeters is a possible length for the third side

Learn more:

You can learn more about triangles in brainly.com/question/4599754

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