ABC is equilateral triangle. C is the mid-point of DE AD is perpen to AC and BE is perpendicular to BC. Prove that ADAC = AEBC
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The given Traingle is a Equilateral triangle , hence all Sides are Equal
AB=BC=AC=10 cm
We have, THEOREM : Any line drawn perpendicular to the opposite side is an equilateral triangle bisects the opposite side.
∴BD=
2
1
×BC
=
2
1
×10=5 cm
Hence According to the Pythagoras Theorem
AB
2
=AD
2
+BD
2
10
2
=AD
2
+5
2
AD
2
=100−25=75
AD=5
3
The length of AD=5
3
=5(1.73205081)=8.66025405
Correcting to 1 decimal place,
Hence your answer : The length of AD=8.6
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