Question : BE and CF are two altitudes of a triangle ABC. If AB = 6 cm, AC = 5 cm, and CF = 4 cm. Then, the length of BE is:
Option 1: 4.8 cm
Option 2: 7.5 cm
Option 3: 3.33 cm
Option 4: 5.5 cm

Question

Question : BE and CF are two altitudes of a triangle ABC. If AB = 6 cm, AC = 5 cm, and CF = 4 cm. Then, the length of BE is:

Option 1: 4.8 cm

Option 2: 7.5 cm

Option 3: 3.33 cm

Option 4: 5.5 cm

Team Careers360 · Accepted Answer

Correct Answer: 4.8 cm

Solution :

Given: BE and CF are two altitudes of a triangle ABC.
Where AB = 6 cm, AC = 5 cm and CF = 4 cm
Area of $ riangle ABC = \frac{1}{2} imes AB imes CF= \frac{1}{2} imes AC imes BE$
$⇒\frac{1}{2} imes 6 imes 4= \frac{1}{2} imes 5 imes BE$
$⇒BE = \frac{24}{5}=4.8$ cm
Hence, the correct answer is 4.8 cm.

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Question : BE and CF are two altitudes of a triangle ABC. If AB = 6 cm, AC = 5 cm, and CF = 4 cm. Then, the length of BE is:Option 1: 4.8 cmOption 2: 7.5 cmOption 3: 3.33 cmOption 4: 5.5 cm

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Question : BE and CF are two altitudes of a triangle ABC. If AB = 6 cm, AC = 5 cm, and CF = 4 cm. Then, the length of BE is:
Option 1: 4.8 cm
Option 2: 7.5 cm
Option 3: 3.33 cm
Option 4: 5.5 cm