A student divided a line of length 9cm in the ratio 2:3 geometrically as shown
in the figure. The correct lengths of AM and MB obtained by calculation are
respectively equal to
A 6.3cm and 2.7cm
B. 3.5cm and 5.5cm
C. 3.6cm and 5.4cm
D. 2.8m and 6.2cm
Answers
Answer:
Given :- A student divided a line of length 9cm in the ratio 2:3 geometrically as shown in the figure. The correct lengths of AM and MB obtained by calculation are respectively equal to
A 6.3cm and 2.7cm
B. 3.5cm and 5.5cm
C. 3.6cm and 5.4cm
D. 2.8m and 6.2cm
Solution :-
→ Total length of line AB = 9 cm.
since point M divides line AB in ratio 2 : 3 . Let us assume that, AM is 2x cm and MB is 3x cm .
so,
→ AM + MB = AB
→ 2x + 3x = 9
→ 5x = 9
→ x = (9/5)
then,
→ Length of AM = 2x = 2 * (9/5) = 18/5 = 3.6 cm .
→ Length of MB = 3x = 3 * (9/5) = 27/5 = 5.4 cm .
therefore, Option (C) is correct answer .
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Answer:
→ Length of AM = 2x = 2 * (9/5) = 18/5 = 3.6 cm . → Length of MB = 3x = 3 * (9/5) = 27/5 = 5.4 cm . therefore, Option (C) is correct answer .