is a quadrilateral with one of the diagonals of length 7 cm and sides of lengths as 2 cm, 3 cm, 5 cm, and 8 cm [the sides may not be in the same order given here] possible? if yes, then how many such disinct quadrilateals are possible?
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The two diagonals of a convex quadrilateral are the line segments that connect opposite vertices. The two bimedians of a convex quadrilateral are the line segments that connect the midpoints of opposite sidesFrom the table, it can be observed that the angle sum of a convex polygon of n sides is (n −2) × 180º. Hence, the angle sum of the convex polygons having number of sides as above will be as follows.
(a) (7 − 2) × 180º = 900°
(b) (8 − 2) × 180º = 1080°
(c) (10 − 2) × 180º = 1440°
(d) (n − 2) × 180°
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