Asked by | 30th Jan, 2009, 06:11: PM
Draw the triangle as mentioned in the question.
Now consider triangles ADB and AEC.
Both are right triangles according to the information given in the question.
angle AEC= angle ADB(each is 90 degrees)
angle A = angle A ( common to both triangles)
triangle AEC is similar to triangle ADB ..(AA similarity)
AE/AD=EC/DB=AC/AB ...( as corresponding sides of similar triangles are proportional)
cross multiplying, we get,
Note that it's very important in such questions to identify which triangles should you consider for similarity.The statement to be proved usually gives a hint on this matter.
Answered by | 31st Jan, 2009, 08:57: AM
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