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Please answer the question correctly without any spam ...(Chapter - Similarity) |
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Answer» Answer: Length of DE is EQUAL to 10 cm. Step-by-step explanation: Given that DE || BC this implies, angle ADE = angle ABC ---------------(1) angle AED = angle ACB ---------------(2) {Reason: corresponding ANGLES} From (1)and (2) we can conclude that ∆ADE ~ ∆ABC Area of ∆ADE = 25cm^2 Area of ∆ABC = (25+24) = 49cm^2 We know that 'The ratio of areas of two similar triangles is equal to the ratio of square of their corresponding sides.' =>area of ∆ADE/area of ∆ABC = DE^2/BC^2 =>√【area of ∆ADE/area of ∆ABC】= DE/BC =>√【25/49】= DE/14 =>5/7 = DE/14 =>DE = (5×14)/7 =>DE = 10 cm |
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