In triangle abc a=7,b=8,c=9 BD is median and BE is altitude from vertex B then ED=?
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Answer :
ED = 2
Step-by-step explanation :
Hey Mate,
Given Data : BD is median. ( So, AD = 4 and CD = 4 )
BE is altitude from vertex B.
A= 7 ; B = 8 ; C = 9.
Solution :
From Triangle ABD
Cos A = (4² + 9² - BD²) / (2 × 4 × 9)
From Triangle ABC
Cos A = (8² + 9² - 7²) / (2 × 8 × 7)
So, the value of BD² is 7². (BD = 7)
where triangle BCD is isosceles.
Therefore,
ED = 1/2 of CD
ED = 2
Similar triangle base question : https://brainly.in/question/1205587
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