Q5 of 168 Page 5

In a right angled triangle with sides a and b and hypotenuse c, the altitude drawn on the hypotenuse is x. Prove that AB = CX.

In ΔACB and ΔCDB


<B = <B (Common)


<ACB = <CDB (Corresponding angles)


Then, Δ ACB ~ΔCDB (By AA Similarity)


So, (Corresponding parts of similar triangle area proportion)


Or


Or ab = cx


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