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?
10 1/2
14
21
4 2/3
x/7 =3/2
If the sides of two similar figures are in the ratio of 2:3, that means the corresponding sides are also in the ratio of 2:3.
Given that a side of the smaller triangle has a length of 7, we can set up a proportion to find the length of the corresponding side of the other triangle.
Let x be the length of the corresponding side of the other triangle.
Using the proportion:
7/x = 2/3
Cross multiplying, we have:
3 * 7 = 2 * x
21 = 2x
Divide both sides by 2:
21/2 = x
So, the length of the corresponding side of the other triangle is 10 1/2.
Therefore, the answer is 10 1/2.
To find the length of the corresponding side of the other triangle, we need to use the ratio of the sides.
The ratio given is 2:3, which means the smaller triangle has sides that are 2 units for every 3 units of the larger triangle.
Given that one side of the smaller triangle has a length of 7 units, we can set up a proportion to find the length of the corresponding side of the larger triangle.
Let x be the length of the corresponding side of the larger triangle.
We can set up the proportion as follows:
2/3 = 7/x
To solve for x, we can cross-multiply and then divide:
2x = 7 * 3
2x = 21
Now, divide both sides by 2:
x = 21/2
x = 10 1/2
Therefore, the length of the corresponding side of the larger triangle is 10 1/2 units.