## 7. A piece of string is 30cm long. What will be the length of each side if the string is used to form a regular decagon? 8. Constr

Question

7. A piece of string is 30cm long. What will be the length of each side if the string is
used to form a regular decagon?
8. Construct a perpendicular to a line through a point not lying on the line using
set square and ruler.​

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5 months 2022-01-06T01:45:03+00:00 2 Answers 0 views 0

Step-by-step explanation:

The string length is the perimeter of the shape.

∴ For each case, perimeter=30cm

(i) Square

A square has all the side equal.

Perimeter=4×(side of square)

∴side of square=  4

perimeter
=  4
/30  =7.5cm

Hence, length of each side if the string is used to form a square will be 7.5 cm.

(ii) Equilateral triangle

An equilateral triangle has three equal sides.

Perimeter=3×(side)

∴side=  3

perimeter  = 3/30  =10cm

Hence, length of each side if the string is used to form an equilateral triangle will be 10 cm.

(iii) Regular hexagon

A regular hexagon has six equal sides.

Perimeter=6×(side)

∴side=  6

perimeter=  6
/30
= 5cm

Hence, length of each side if the string is used to form a regular hexagon will be 5 cm

2. Step-by-step explanation:

string length = perimeter of the regular decagon

30cm=side ×10

Therefore,side is 3 cm.