The polygons are similar but not necessarily drawn to scale, find the value of x.
Bigger polygon has x - 3, 8, and 16
Smaller has 2.5, 2, 4
Solution:
Given, the polygons are similar but not necessarily drawn to scale.
We have to find the value of x.
The bigger polygon has measures x - 3, 8, and 16.
The smaller polygon has measures 2.5, 2, and 4.
Similar polygons have corresponding angles that are congruent and corresponding sides that are proportional.
Side lengths of a polygon can be multiplied or divided by a scale factor to determine the lengths of the other similar polygon.
Dividing the known sides with each other,
\(\frac{x-3}{2.5}=\frac{8}{2}=\frac{16}{4}\\\frac{x-3}{2.5}=4=4\\\frac{x-3}{2.5}=4\)
x - 3 = 4(2.5)
x - 3 = 10
x = 10 + 3
x = 13
Therefore, the value of x is 13 units.
The polygons are similar but not necessarily drawn to scale, find the value of x.
Bigger polygon has x - 3, 8, and 16
Smaller has 2.5, 2, 4
Summary:
The polygons are similar but not necessarily drawn to scale, the value of x is 13 units. Bigger polygon has x - 3, 8, and 16 and smaller has 2.5, 2, 4.