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Equal Intercept Theorem

In the given ...

Question

In the given figure, DE II BC. Find the length of side AD, given that AE = 2.8 cm, BD = 9 cm, and CE = 8.4 cm.

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Solution

Solution:
Apply Thales' Theorem to get the value of AD.

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Similar questions

Q. In the given figure, DE || BC and

AD = \frac{1}{2} BD

. If BC = 4.5 cm, find DE.

Q. In a ∆ABC, D and E are points on AB and AC respectively such that DE || BC. If AD = 2.4 cm, AE = 3.2 cm, DE = 2 cm and BC = 5 cm, find BD and CE.

△ A B C, D

E

are points on the sides

A B

A C

respectively such that

D E ∥ B C

A D = 2.4 c m, A E = 3.2 c m, D E ∥ B C

A D = 2.4 c m, A E = 3.2 c m, D E = 2 c m

B C = 5 c m

B D

C E

Q. In the given figure,

D E | | B C, A E = 15 c m, E C = 9 c m, N C = 6 c m

B N = 24 c m

.

ii) Find lengths of

M E

D M

In the adjoining figure, AD=5.6 cm, AB=8.4cm, AE=3.8cm and AC=5.7cm. Show that DE||BC.

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