To find the actual distance from Dallas to Houston using similar triangles, we can set up a proportion:
Let x be the actual distance from Dallas to Houston.
Using the given measurements:
3 in is to 188 miles as 4.125 in is to x miles.
3/188 = 4.125/x
Cross multiply:
3x = 188 * 4.125
3x = 774
x = 774/3
x ≈ 258 miles
Therefore, the actual distance from Dallas to Houston is approximately 258 miles.
Dallas
Houston
San Antonio
3 in
3.75 in
4.125 in
Question content area bottom
Part 1
If the actual distance from San Antonio to Houston is approximately 188 miles, use the lengths of the line segments indicated in the figure along with similar triangles to approximate
a. the actual distance from Dallas to Houston.
3 answers
wrong
I apologize for the mistake. Let's try that again.
Let x be the actual distance from Dallas to Houston.
Using the given measurements:
3 in is to 188 miles as 4.125 in is to x miles.
3/188 = 4.125/x
Cross multiply:
3x = 188 * 4.125
3x = 774
x = 774/3
x ≈ 258 miles
Therefore, the actual distance from Dallas to Houston is approximately 258 miles.
Let x be the actual distance from Dallas to Houston.
Using the given measurements:
3 in is to 188 miles as 4.125 in is to x miles.
3/188 = 4.125/x
Cross multiply:
3x = 188 * 4.125
3x = 774
x = 774/3
x ≈ 258 miles
Therefore, the actual distance from Dallas to Houston is approximately 258 miles.