On the segment XY = 28 cm, we marked the point R such that XR = 14 cm

univerkov | August 6, 2021 | education

On the segment XY = 28 cm, we marked the point R such that XR = 14 cm, and the point P such that YP = 19 cm. Find the length of the segment RP.

By the condition of the problem, it is known that XY = 28 cm, and also that XR = 14 cm and YP = 19 cm, which means that point P is closer to point X, and point R is closer to point Y. First, find the sum of the segments XR and PY, after that, subtract the length of the segment XY from the obtained result, as a result we obtain the required length of the segment RP.

XR + PY = 14 + 19 = 33 (cm)

RP = XR + PY – XY = 33 – 28 = 5 (cm)

Answer: 5 centimeters is the length of the RP segment.

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