Find the side of the equilateral ABC and also find the length of BD.
Attachments:
Answers
Answered by
1
Answer:
AB=BC=CA=6cm and BD=10cm
Step-by-step explanation:
Since, ABC is equilateral, BC = (x-2).
Since, BCD is right angled, using formula for hypotenuses: BC2 + CD2 = BD2
=>(x-2)^2 + 8^2 = (x+2)^2
=> x^2 - 4x + 4 + 64 = x^2 + 4x + 4
=>64 = 8x
=> x = 8
Thus, side of equilateral triangle = (x-2) = 8-2 = 6 cm and BD = (x+2) = 8+2 = 10 cm
Similar questions