Answer:
17
Step-by-step explanation:
Using Triangle Midsegment theorem, it states that if :
Q is the midpoint of MN and R is the midpoint of NP
Then, QR is parallel to MP and QR = 1/2 of MP
Mathematically
QR = 1/2MP
From the above question, we are given the following values:
QR = 3x - 4
MP = 55 - 3x
Since
QR = 1/2MP
3x - 4 = 1/2(55 - 3x)
3x - 4 = 55/2 - 3x/2
Collect like terms
3x + 3x/ 2 = 55/2 + 4
9x/ 2 = 31.5
Cross Multiply
9x = 31.5 × 2
9x = 63
x = 63/9
x = 7
Since QR = 3x - 4
x = 7
QR = 3×7 - 4
= 21 - 4
= 17
Hence, QR = 17
