In the given figure, DE || BC. If DE = 4 cm, BC = 6 cm and ar(ΔADE) = 20 cm2, find the area of ΔABC. 2, find the area of ΔABC. Similarity of Triangles, RSA Mathematics Solutions ICSE Class 10."

Question

In the given figure, DE || BC. If DE = 4 cm, BC = 6 cm and ar(ΔADE) = 20 cm2, find the area of ΔABC. 2, find the area of ΔABC. Similarity of Triangles, RSA Mathematics Solutions ICSE Class 10." >

KnowledgeBoat · Accepted Answer

Considering ΔADE and ΔABC, ∠A = ∠A [Common angles] ∠ADE = ∠ABC [Corresponding angles are equal] ΔADE ΔABC (By A.A. axiom) We know that, The ratio of the areas of two similar triangles is equal to the ratio of the square of their corresponding sides. Let the area of ΔABC be x cm2. Hence, area of ΔABC = 45 cm2.

Mathematics

In the given figure, DE || BC. If DE = 4 cm, BC = 6 cm and ar(ΔADE) = 20 cm², find the area of ΔABC.

Similarity

Related Questions

The areas of two similar triangles are 48 cm² and 75 cm² respectively. If the altitude of the first triangle is 3.6 cm, find the corresponding altitude of the other.

In the given figure, AB ⟂ BC and DE ⟂ BC. If AB = 9 cm, DE = 3 cm and AC = 24 cm, calculate AD.

In ΔABC, it is given that AB = 12 cm, ∠B = 90° and AC = 15 cm. If D and E are points on AB and AC respectively such that ∠AED = 90° and DE = 3 cm, prove that :
(i) ΔABC ∼ ΔAED.
(ii) ar(ΔAED) = 6 cm².
(iii) ar(quad BCED) : ar(ΔABC) = 8 : 9.