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.
Answers
Answer:
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
Step-by-step explanation:
string length = perimeter of the regular decagon
30cm=side ×10
Therefore,side is 3 cm.