In triangle PQR, segments QS and RT are medians. If PT = 3x - 1, PS = 4x - 2, andSR = 2x + 4, find SR.A. 3B. 10C. 14D. 20cinches
Accepted Solution
A:
The length of SR is 10 inches ⇒ answer BStep-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 vertexIn Δ PQR1. QS is a median2. RT is a medianWe 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 = 3Substitute the value of x in the expression of SR∵ SR = 2x + 4∵ x = 3∴ SR = 2(3) + 4∴ SR = 6 + 4∴ SR = 10 inchesThe length of SR is 10 inchesLearn more:You can learn more about triangles in brainly.com/question/3358617#LearnwithBrainly