What is the number of diagonals in a (i) heptagon (ii) octagon (iii) polygon of...

Kiersten Edwards

Kiersten Edwards

Answered

2022-12-31

What is the number of diagonals in a (i) heptagon (ii) octagon (iii) polygon of 12 sides ?

Answer & Explanation

bolwoninghch

bolwoninghch

Expert

2023-01-01Added 8 answers

We are aware of the number of diagonals in polygons with n sides = n ( n 3 ) 2 (i) In heptagon, no.of diagonals = 7 ( 7 3 ) 2 = 7 × 4 2 = 14 (ii) In octagon, no. of diagonals = 8 ( 8 3 ) 2 = 8 × 5 2 = 20 (iii) In polygon of 12 sides = 12 ( 12 3 ) 2 = 12 × 9 2 = 54

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