the base of the right triangle drawn in the regular octagon measures 0.7 cm. what is the perimeter of the…

the base of the right triangle drawn in the regular octagon measures 0.7 cm. what is the perimeter of the octagon? 11.2 cm 14.1 cm 15.2 cm 20.8 cm

the base of the right triangle drawn in the regular octagon measures 0.7 cm. what is the perimeter of the octagon? 11.2 cm 14.1 cm 15.2 cm 20.8 cm

Answer

Explanation:

Step1: Recall property of regular octagon

In a regular octagon, the right - triangle drawn from the center to a side is such that the base of the right - triangle is half of the side length of the octagon.

Step2: Calculate side length of octagon

If the base of the right - triangle is $0.7$ cm, then the side length $s$ of the regular octagon is $s = 2\times0.7=1.4$ cm.

Step3: Calculate perimeter of octagon

The perimeter $P$ of a regular octagon with side length $s$ is given by $P = 8s$. Substituting $s = 1.4$ cm, we get $P=8\times1.4 = 11.2$ cm.

Answer:

11.2 cm