What is the distance between the two pegs? - ProProfs Discuss

# 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

#### Barry Mclean

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