in a equilateral triangle , prove that three times the square of one side is equal to four times the square of one of its altitude
Answers
Answered by
0
Answer:
Given:- An equilateral triangle with one of its altitude.
Let a be the side of the equilateral triangle.
∴BE=EC=
2
BC
=
2
a
To prove:- 4AE
2
=3a
2
In △ABE, by pythagoras theorem
AB
2
=AE
2
+BE
2
a
2
=AE
2
+(
2
a
)
2
⇒AE
2
=a
2
−
4
a
2
⇒AE
2
=
4
4a
2
−a
2
⇒AE
2
=
4
3a
2
⇒4AE
2
=3a
2
Answered by
0
Answer:
jjdjrjhdhdhdhxhsgshjsizbxb zhshbgdjdjn
Similar questions