In a figure, segment XY is divided by two points M and N (in order X, M, N, Y) such that XM = NY. It is also known that the whole XY = 30 cm and MN = 12 cm.
Find the length of XM (in cm).

Question

In a figure, segment XY is divided by two points M and N (in order X, M, N, Y) such that XM = NY. It is also known that the whole XY = 30 cm and MN = 12 cm. Find the length of XM (in cm).

Accepted Answer

9. XY = XM + MN + NY = 30. Since XM = NY, we get 2(XM) + 12 = 30, so 2(XM) = 18, giving XM = 9 cm.

In a figure, segment XY is divided by two points M and N (in order X, M, N, Y) such that XM = NY. It is also known that the whole XY = 30 cm and MN = 12 cm.
Find the length of XM (in cm).

Step-by-Step Solution

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More Class 9 Euclid's Axioms practice

In a figure, segment XY is divided by two points M and N (in order X, M, N, Y) such that XM = NY. It is also known that the whole XY = 30 cm and MN = 12 cm.Find the length of XM (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Euclid's Axioms practice

In a figure, segment XY is divided by two points M and N (in order X, M, N, Y) such that XM = NY. It is also known that the whole XY = 30 cm and MN = 12 cm.
Find the length of XM (in cm).