Point K is marked on the segment AB equal to 27 cm. Find the lengths of the segments AK and BK, if AK is 7 cm greater than BK.
| November 25, 2020 | education
Point K is marked on the segment AB equal to 27 cm. Find the lengths of the segments AK and BK, if AK is 7 cm greater than BK.
it is obvious that AK = BK + 7
and the entire segment AB = AK + BK
AB = BK + 7 + BK
27 = 2BK + 7
2BK = 20
BK = 10 (cm)
and therefore AK = BK + 7 = 10 + 17 (cm)
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