Question

Triangular island has a lighthouse at each of its corners, represented by the vertices of the triangle. The perimeter of triangular island is 6. 8 miles. There is a channel on triangular island which divides it into two smaller islands: green island and coconut island. The length of the channel is equal to half of the distance between the lighthouses on coconut island. What is the perimeter of green island.

Answer 1

The perimeter of the green island is; 3.4 miles

How to find the Perimeter of a Triangle?

We are given;

Perimeter of triangular Island = 6.8 miles

A channel divides the triangular island into 2 smaller islands.

Now, we are told that this channel is half the length of the distance between the lighthouses.

If the distance from one light house is x, the length of the channel is x/2.

Thus;

The channel cuts horizontally and green island is a small triangle while coconut island is a trapezium.

Since perimeter of the main triangular island is 6.8 miles, then;

3x = 6.8

x = 6.8/3

x = 2.267 miles

Then the perimeter of green island = (2.267/2) + (2.267/2) + (2.267/2) = 3.4 miles

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