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Point M is the midpoint of segment QR. If QM = 16 + x and MR = 2(x + 2), find the length of QM.
Solution:
Given, M is the midpoint of line segment QR.
⇒ QM = MR
⇒ 16 + x = 2(x + 2)
⇒ 16 + x = 2x + 4
⇒ 2x - x = 16 - 4
⇒ x = 12
Substitute the value of x in the equation QM = 16 + x
QM = 16 + 12 = 28 units.
Point M is the midpoint of segment QR. If QM = 16 + x and MR = 2(x + 2), find the length of QM.
Summary:
The length of QM is 28 units, when M is the midpoint of line segment QR and QM = 16 + x and MR = 2(x + 2).
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