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Standard X

Mathematics

Relation between Areas and Sides of Similar Triangles

In the adjoin...

Question

In the adjoining figure, ∆ ABC is right angled at ∠A, CD = 8cm & DB = 18cm. Find AD and the ratio of areas of ∆ ADB : ∆ CDA.

5 cm, 81 : 4

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9 cm, 9 : 16

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12 cm, 9 : 64

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12 cm, 81 : 16

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6 cm, 9 : 25

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Solution

The correct option is D
12 cm, 81 : 16

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Similar questions

Q. In figure if AD = 6cm, DB =9cm,AE=8cm and EC = 12cm and

∠ A D E = 48^{o}

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∠ B A C = 90^{\circ}

(i) Prove that

Δ A D B \sim Δ C D A

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(iii) Find the ratio of the area of

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Q. In Fig. 4.60, check whether AD is the bisector of ∠A of ∆ABC in each of the following:

(i) AB = 5 cm, AC = 10 cm, BD = 1.5 cm and CD = 3.5 cm
(ii) AB = 4 cm, AC = 6 cm, BD = 1.6 cm and CD = 2.4 cm
(iii) AB = 8 cm, AC = 24 cm, BD = 6 cm and BC = 24 cm
(iv) AB = 6 cm, AC = 8 cm, BD = 1.5 cm and CD = 2 cm
(v) AB = 5 cm, AC = 12 cm, BD = 2.5 cm and BC = 9 cm

Q. The sides of

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have sides AB, BC, AC as

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3

D and E are the points on the sides AB and AC respectively of a $Δ A B C$ such that: AD = 8 cm, DB =12 cm, AE = 6cm and CE = 9 cm. Prove that $B C = \frac{5}{2} D E$ .

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In the adjoining figure, ∆ ABC is right angled at ∠A, CD = 8cm & DB = 18cm. Find AD and the ratio of areas of ∆ ADB : ∆ CDA.

The correct option is D 12 cm, 81 : 16

The correct option is D
12 cm, 81 : 16