△ABC and △CDE are similar triangles. Set up an equation to find the value of x.
20 /30 = 5 /x
20 /30 = x /5
20 /30 = 5x
30 /20= 5 / x
depending on the labeling, any one of those could work.
To find the value of x in the given triangle similarity, we can use the proportionality property.
The proportionality property states that the ratios of corresponding sides in similar triangles are equal.
In this case, we have the proportion:
20/30 = 5/x
To set up an equation to solve for x, we can cross multiply:
20 * x = 30 * 5
This simplifies to:
20x = 150
Now, divide both sides of the equation by 20 to isolate x:
x = 150/20
Simplifying further:
x = 7.5
Therefore, the value of x is 7.5.
To set up an equation to find the value of x in similar triangles △ABC and △CDE, we can use the concept of corresponding sides. In similar triangles, corresponding sides are in proportion to each other.
In this case, we can set up the equation based on the corresponding sides of △ABC and △CDE. The given information suggests that the ratio of the lengths of a side of △ABC to the corresponding side of △CDE is the same as the ratio of another side of △ABC to another corresponding side of △CDE.
The given equation is:
20 / 30 = 5 / x
This equation is based on the proportions of the sides between the two triangles. The left side of the equation represents the ratio of the lengths of sides in △ABC, while the right side represents the ratio of the lengths of sides in △CDE.
To solve for x, we can cross-multiply and then solve for x:
20 * x = 30 * 5
Dividing both sides of the equation by 20, we get:
x = (30 * 5) / 20
x = 150 / 20
Simplifying further, we get:
x = 7.5
Therefore, the value of x is 7.5 in this case.