ABC and ADC are two right triangles with common hypotenuse AC. Prove that
.
Solution:
AC is the common hypotenuse for two right triangles,
and
.
(Given)
(If sum of a pair of opposite angles of a quadrilateral is
, the quadrilateral is cyclic.)
Therefore, quadrilateral ABCD is cyclic.
. (Angles in the same segment are equal)
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