Question

A city park designer is designing a new park. The park will be shaped like a right triangle and there will be two pathways for pedestrians,shown by VT and VW in the diagram. The park planner only wrote two lengths on his sketch as shown.Based on the diagram,what will be the lengths of the two pathways?

The length of pathway VW is _ yards.

The length of pathway VT is _ yards.

Answer 1

VW=36

VT=27

Explanation:

VW is the midsegment of the triangle

so

VW=72/2

=36

VXT is a right angle triangle

so

a²+b²=c²

a=√c²-b²

a=√45²-36²

a=√(45-36)(45+36)

a=√9×81

a=√9×√81

a=27

therefore

VT=27