In , points D and E are taken on sides AB and AC respectively such that , , and .…

MATHEMATICS · Subjective · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

In ΔABC\Delta ABC, points D and E are taken on sides AB and AC respectively such that AD=3 cmAD = 3\,\text{cm}, DB=5 cmDB = 5\,\text{cm}, AE=4.5 cmAE = 4.5\,\text{cm} and EC=7.5 cmEC = 7.5\,\text{cm}. Prove that ΔADE\Delta ADE is similar to ΔABC\Delta ABC.

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