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Criteria for Similarity of Triangles

In the given ...

Question

In the given figure, $Δ O A B \sim Δ O C D$ . If AB = 8 cm, BO = 6.4 cm, OC = 3.5 cm and CD = 5 cm, find (i) OA (ii) DO.

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Solution

$g i v e n space t h e space t r i a n g l e s space a r e space s i m i l l a r space s o space b y space C P S T fraction numerator A B over denominator C D end fraction equals fraction numerator O A space over denominator O C end fraction 8 over 5 equals fraction numerator O A over denominator 3.5 end fraction O A equals 5.6 S I M I L L A R L Y space B Y space C P S T fraction numerator A B over denominator C D end fraction equals fraction numerator B O over denominator D O end fraction 8 over 5 equals fraction numerator 6.4 over denominator D O end fraction D O equals 4.0$

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Similar questions

Q. In the given figure

∆ O A B ~ ∆ O C D . If A B = 8 cm, B O = 6.4 cm, O C = 3.5 and C D = 5 cm,

Find
(i) OA
(ii) DO.

Q. In the given figure, DE ∥ BC. If DE = 5 cm, BC = 8 cm and AD = 3.5 cm, then AB = ?

(a) 5.6 cm
(b) 4.8 cm
(c) 5.2 cm
(d) 6.4 cm

Q. Question 2
In figure, if OA = 5 cm, AB = 8 cm and OD is perpendicular to AB, then CD is equal to

(A) 2 cm
(B) 3 cm
(C) 4 cm
(D) 5 cm

Q. In the following figure

, / / / m / / n .

O C = O D = 5 c m, O A = 8 c m

O E = 10 c m,

O F

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Q. In the given figure,

D E ∥ B C

D E = 5 c m, B C = 8 c m

A D = 3.5 c m

A B

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