I'm in 5th grade and here's my question:
I have to write which fraction represents the ratio of corresponding sides? There are 2 triangles. One triangle has the measurements 3in., 9in. and 6in. The other triangle is 18in., 54in. and 36in.
Thank you.
3x0
the sides of the larger are in the ratio 18/3 = 54/9 = 36/6
That ratio is 6:1 or 6/1
if you compare the smaller to the larger, that would be 1/6
3:18 9:54 and 6:36
Notice how you have to multiply the first number by 6 to get the second number.
Hope this helps!
That's easy 3:18
9:54
6:36
3*6:18
9*6:54
6*6:36
So the ratio of them is 6/1 or 6
To find the ratio of corresponding sides in two triangles, you need to compare the lengths of the corresponding sides from both triangles.
In the first triangle, the side lengths are 3 inches, 9 inches, and 6 inches.
In the second triangle, the side lengths are 18 inches, 54 inches, and 36 inches.
To find the ratio of corresponding sides, you need to compare the lengths of the corresponding sides in each triangle.
For example, comparing the shortest sides:
3 inches (first triangle) : 18 inches (second triangle)
To simplify this ratio, you can divide both numbers by their greatest common divisor, which is 3 in this case:
3 inches ÷ 3 = 1 inch
18 inches ÷ 3 = 6 inches
So, the ratio of the shortest sides is 1 inch : 6 inches, or 1:6.
You can follow the same steps to find the ratios of the other corresponding sides:
9 inches : 54 inches (divide both numbers by 9 to simplify)
6 inches : 36 inches (divide both numbers by 6 to simplify)
Once you have simplified the ratios for all the corresponding sides, you can write them as fractions. For example, if the ratio is 1:6, you can write it as 1/6.
So, in this case, the fraction representing the ratio of the corresponding sides is:
1/6, 9/54, 6/36