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yuradex [85]
3 years ago
11

In triangle PQR, segments QS and RT are medians. If PT = 3x - 1, PS = 4x - 2, and

Mathematics
1 answer:
MrMuchimi3 years ago
8 0

The length of SR is 10 inches ⇒ answer B

Step-by-step explanation:

The median of a triangle is the segment drawn from one vertex to

the mid-point of the opposite side to this vertex

In Δ PQR

1. QS is a median

2. RT is a median

We need to find the length of SR

∵ QS is a median in Δ PQR

∵ PR is the opposite side to vertex Q

∴ S is the mid-point PR

∴ PS = SR

∵ PS = 4x - 2

∵ SR = 2x + 4

∴ 4x - 2 = 2x + 4

- Subtract 2x from both sides

∴ 2x - 2 = 4

- Add 2 to both sides

∴ 2x = 6

- Divide both sides by 2

∴ x = 3

Substitute the value of x in the expression of SR

∵ SR = 2x + 4

∵ x = 3

∴ SR = 2(3) + 4

∴ SR = 6 + 4

∴ SR = 10 inches

The length of SR is 10 inches

Learn more:

You can learn more about triangles in brainly.com/question/3358617

#LearnwithBrainly

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