A rectangular park is 6 miles long and 3 miles wide. How long is a pedestrian route that runs diagonally across the park?
2 answers:
If the path runs diagonally, then a right angle triangle is made, with the width and length as the two sides, and the route taken as the hypotenuse.
Pythagorus' Theorem tells us that; <em /><em /><u><em /></u><em>A</em>² <em>= B</em>² <em>+ C</em>²
Where B and C are the two sides of a right angled triangle, and A is the hypotenuse.
Route taken = A
A² = B² + C²
A² = 3² + 6²
A² = 9 + 36
A² = 45
A = √45
A = 6.7 miles
As it will create a triangle with 90o angle the pythagory says 6+3²=x²⇔ x²=45⇔ x=√45
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