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Byju's Answer
Standard IX
Mathematics
Perpendicular from the Center to a Chord Bisects the Chord
Find the area...
Question
Find the area of the largest triangle that can be inscribed in a semi - circle of radius
r
units.
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Solution
Largest triangle will be
△
A
B
C
Base
=
r
+
r
=
2
r
Height
=
r
Area
=
1
2
×
b
×
h
=
1
2
×
2
r
×
r
=
r
2
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