Algebraic Mid-Segment Challenges in Triangle Geometry

A triangle has a mid-segment that measures 8 cm. If the base of the triangle is represented by the expression 2x + 4, what is the value of x?

• 4

• 6

• 10

• 12

In a triangle, the mid-segment is 5 cm long. If the lengths of the two bases are represented as 3y and 2y + 1, find the value of y.

• 1.8

• 4.0

• 2.5

• 3.2

A mid-segment of a triangle is 12 cm. If the longer base is represented by the expression 4z - 2, what is the value of z?

• 8.5

• 7

• 5

• 6.5

The mid-segment of a triangle is 10 cm. If one base is 3x + 1 and the other base is 2x + 4, find the value of x.

• 2

• 5

• 4

• 3

A triangle has a mid-segment that is 7 cm long. If the bases are represented as 5a and 3a + 2, what is the value of a?

• 4

• 1.5

• 2

• 3.5

In a triangle, the mid-segment measures 9 cm. If one base is represented by the expression 6b - 3, what is the value of b?

• 2.5

• 3.5

• 4.0

• 5.5

A mid-segment of a triangle is 15 cm. If the bases are represented as 2c + 5 and 3c - 1, find the value of c.

• 5.2

• 6.1

• 7.5

• 4.3

The mid-segment of a triangle is 11 cm. If one base is 4d and the other base is 2d + 3, what is the value of d?

• 2.5

• 4.0

• 3.1667

• 5.5

A triangle has a mid-segment of 14 cm. If the bases are represented as 5e + 1 and 3e + 5, find the value of e.

• 3.5

• 2.75

• 1.5

• 4.0

In a triangle, the mid-segment measures 6 cm. If the bases are represented as 2f + 2 and 4f - 2, find the value of f.

• 5

• 1

• 2

• 3