Segment AD is Tangent to Circle C at Point E.
What is the length of Segment AB?
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Answered by
13
Answer:
ok here it is
Step-by-step explanation:
7cm =80
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Answered by
0
Answer:
20
given,
- Segment AD is Tangent to Circle C at Point E.
- CB = 30
- AE = ED = 40
to find,
the length of Segment AB
solution,
in the given figure, AD is tangent to circle C at point E and we need to find the length of AB.
CB = CE = 30 ( radii of the same circle )
draw a line from the center C to point E. now,
let CE be perpendicular (P), AE be base (B) and AC be the hypotenuse(H).
using Pythagoras theorem,
H² = P² + B²
AC² = CE² + AE²
(AB+BC)² = CE² + AE²
(AB+30)² = 30² + 40²
AB² + 900 + 60AB = 900 + 1600
AB² + 60AB - 1600 = 0
AB² +80AB - 20AB -1600 = 0
AB( AB +80) -20 (AB +80) = 0
(AB+80) (AB-20)= 0
AB = 20 or AB= -80
Since the value of AB can not be negative, therefore, AB= 20 units
therefore, 20 is the required response
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