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
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