Castroville Street and Vindale Avenue intersect. If the diagonal distance across the intersection is 10 meters and Castroville Street is 8 meters wide, how wide is Vindale Avenue?

The length of Vindale Avenue = x = AB = 6 m

Step-by-step explanation:

Given data

Diagonal distance AC = 10 m

BC = length of castroville Street = 8 m

Let  the length of Vindale Avenue = x

Thus a Δ ABC is formed.

From the Δ ABC

x = 6 m

Therefore the length of Vindale Avenue = x = AB = 6 m

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

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