ABC is an isosceles triangle with AB=AC altitudes drawn to sides AB and AC from vertices C and B respectively. one altitude CF is found to be 4cm. if BC =5cm. find EC where BE Is altitude to side AC.
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Step-by-step explanation:
ABC is an isosceles triangle with AB = AC. Altitudes are drawn to the sides AB and AC from vertices B and C. One altitude CF is found to be 4 cm and BC = 5 cm.
Then in triangle BFC the angle BFC =90
Then =BC^2 −CF^2 =(5)^ 2 −(4) ^2 =9⇒BF=3
In triangle BEF & triangle BFC are similar
Then EC=BF=3
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