Question

Consider a triangle with sides 3,6,8 cm respectively as a man runs around a triangle in such a way that is always and distance of one centimetre from the sides of triangle then how is distance will it travel

Answer 1

please see the attachment

Answer 2

The distance traveled  by the man is 23 cm (approx.)

Step-by-step explanation:

Given:

A triangle with sides 3,6,8 cm.

A man runs around a triangle.

Always and distance of one centimeter from the sides of triangle.

To Find:

The distance traveled  by the man.

Solution:

The man runs around the triangle in such a way that he is 1 cm away from the sides of the triangle that is  possible when the man runs around a circle at corners and normally 1 cm away at other points.

The exact length of the outer triangle cannot be find out due to  the rounded edges but approx length can be  considered.

Hence, the length of new circle that is approx will increase by 2 cm  due to 1 cm increase in both the sides.

Sides of outer triangle  will be 3+2 cm, 6+2 cm , 8+2 cm or 5, 8, 10 cm .

So length covered by man  = 5+8+10=23 cm approx.

Thus,the distance traveled  by the man is 23 cm (approx.).

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