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In triangle ABC ,D and E are points on AB and AC such that DE is parallel to BC. If AD = 4cm .DC =8cm and AE =4.5 cm ,find the length of CE8cm9cm4.5cm4cm |
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Answer» Step-by-step explanation: Answer. Step-by-step explanation: GIVEN: In Δ ABC, D and E are points on AB and AC , DE || BC and AD = 2.4 cm, AE = 3.2 cm, DE = 2 cm and BE = 5 cm. Hence,BD = 3.6 cm and CE = 4.8 cm. OR 10th Maths Triangles Basic PROPORTIONALITY Theorem (Thales Theorem) In ABC, D and E are points... MATHS In △ABC, D and E are points on the sides AB and AC respectively such that DE || BC. If AD = 6 cm, DB = 9 cm and AE = 8 cm, find AC. HARD Share Study later ANSWER The basic proportionality theorem STATES that if a line is drawn parallel to one side of a triangle and it intersects the other two sides at two distinct points then it divides the two sides in the same ratio. It is given that AD=6 cm, DB=9 cm and AE=8 cm. Using the basic proportionality theorem, we have ABAD=ACAE=BCDE⇒ABAD=ACAE⇒156=AC8⇒6AC=15×8⇒6AC=120⇒AC=6120=20 Hence, AC=20 cm. |
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