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# What is the distance between the two pegs?

A flagpole is supported by two wires, each of length 17 m, which are pegged to the ground as shown. Assume that a straight line can be drawn from peg to peg and that the flagpole is located at the midpoint of this line. The flagpole is 15 m high.

This question is part of year 9 - semester one maths test

### Request 0Follow Share     Answer AnonymouslyAnswer Later Copy Link  Barry Mclean, Sales Manager, MBA, Ewa

The correct answer isto solve for the missing side of the triangle, we must use the Pythagorean Theorem where a² + b² = c². A and B are the legs and C is the hypotenuse, the longest side of a triangle. The missing side is B so the formula we should be using is b² = c² - a² that will be (17m)² - (15m)². You will get 289 - 225 = 64.

Then, get the square root of 64 which is 8. This is still not the final answer as you can see from the diagram, it has 2 triangles overlapping each other that has the same measurements. Multiply 8 by 2 and you will get your final answer of 16 m.   16m    Search for Google images Select a recommended image
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