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Quantitative Aptitude

Length Based Approach

Find the leng...

Question

Find the length of AB, if the length of BD is 6 cm and AO is one third of AC which 12 cm.

A

3 cm

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B

4 cm

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C

5 cm

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D

6 cm

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Solution

The correct option is C 5 cm

$B D = 6 c m A C = 12 c m A O = \frac{1}{3} \times A C = \frac{1}{3} \times 12 A O = 4 c m We know that, one of the diagonals of a kite bisect each other. B O = O D = 3 c m .$
$I n △ A O B, A B^{2} = A O^{2} + O B^{2} = 4^{2} + 3^{2} = 16 + 9 = 25 A B = \sqrt{25} = 5 c m$
$The length of AB is 5 cm.$

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Similar questions

Q. Find the length of AB, if the length of BD is 6 cm and AO is one third of AC which 12 cm.

Q. In a parallelogram ABCD, diagonals AC and BD intersect at O. If AO =

6

cm then find the length of AC.

Q. In the given figure, AB

= 12

= 13

= 10

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cm. Calculate the length of BD.

Q. If a ∆ ABC, AD is the bisector of ∠A, meeting side BC at D.

(i) If BD = 2.5 cm, AB = 5 cm and AC = 4.2 cm, find DC.
(ii) If BD = 2 cm, AB = 5 cm and DC = 3 cm, find AC.
(iii) If AB = 3.5 cm, AC = 4.2 cm and DC = 2.8 cm, find BD.
(iv) If AB = 10 cm, AC = 14 cm and BC = 6 cm, find BD and DC.
(v) If AC = 4.2 cm, DC = 6 cm and BC = 10 cm. find AB.
(vi) If AB = 5.6 cm, AC = 6 cm and DC = 3 cm, find BC.
(vii) If AD = 5.6 cm, BC = 6 cm and BD = 3.2 cm, find AC.
(viii) If AB = 10 cm, AC = 6 cm and BC = 12 cm, find BD and DC.

△

ABC, AD is the bisector of

∠

A, meeting side BC at D.

(i) If BD = 2.5 cm, AB = 5 cm and AC = 4.2 cm, find DC.

(ii) If BD = 2 cm, AB = 5 cm and DC = 3 cm, find AC.

(iii) If Ab = 3.5 cm, AC = 4.2 cm and DC = 2.8 cm, find BD.

(iv) If AB = 10 cm, AC = 14 cm and BC = 6 cm, find BD and DC.

(v) If AC = 4.2 cm, DC = 6 cm and BC = 10 cm, find AB.

(vi) If AB = 5.6 cm, AC = 6 cmand DC = 3 cm, find BC

(vii) If AD = 5.6 cm, BC = 6 cm and BD = 3.2 cm, find AC

(viii) If AB = 10 cm, AC = 6 cm and BC = 12 cm, find BD and DC.

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