Two similar figures have sides in the ratio of 2:3. If a side of the smaller triangle has a length of 7, what is the length of the corresponding side of the other triangle?
set up the ratio
7/x = 2/3
cross-multiply
2x = 21
x = 21/2
To find the length of the corresponding side of the larger triangle, we can use the ratio of sides given.
The ratio of the sides in the two similar figures is 2:3. This means that for every 2 units of length in the smaller triangle, there are 3 units of length in the larger triangle.
If a side of the smaller triangle has a length of 7 units, we can set up a proportion to find the corresponding side length of the larger triangle.
Let's call the length of the corresponding side in the larger triangle "x".
We can set up the proportion:
2/3 = 7/x
To solve this proportion, we can cross-multiply:
2x = 3 * 7
2x = 21
Dividing both sides of the equation by 2, we get:
x = 21/2 = 10.5
Therefore, the length of the corresponding side of the larger triangle is 10.5 units.