Question

In Washington, D.C., E. Capitol Street,
Independence Avenue, C Street, and D Street are
parallel streets that intersect Kentucky Avenue and
12th Street.
31. How long (to the nearest foot) is Kentucky
Avenue between C Street and D Street?

Answer 1

You can use pythagoras theorem . Its a right triangle

Answer 2

how do i do that with this problem though

Answer 3

@highschoolmom2010 Ohk i guess upper part is not intersecting @ Linchlon park

Answer 4

1000^2=1860^2+b^2 like that ...?

Answer 5

If this is the case then it is not a right triangle .

Answer 6

the problem doesnt say if it was or not

Answer 7

M not getting the sense of the question
@dumbcow : Can u help ?

Answer 8

looks like you are supposed to see that the right triangles are similar
the section of Kentucky ave that is given as 1000 ft will show its a 3:4:5 right triangle

apply same proportion to other section

\[\frac{x}{460} = \frac{5}{4}\]
\[x = 575\]

Answer 9

cna you explain this : looks like you are supposed to see that the right triangles are similar
the section of Kentucky ave that is given as 1000 ft will show its a 3:4:5 right triangle

a little more im not sure what you mean

Answer 10

from geometry you learn that angles A,B are equal because they are corresponding angles
this means those 2 triangles have same angles, which means they are similar and the side lengths are proportional

3:4:5 right triangle is just a common ratio for sides of a right triangle