Answer:
Step-by-step explanation:
In order to find the value of y, first we need to find the length of the perpendicular dropped from one of the vertices of the triangle to its opposite side.
By geometric mean theorem:
Length of the perpendicular
Next, by Pythagoras theorem:
The ratio of corresponding sides is same for all the sides for similar polygon. the correct proportion is,
Thus the option H is the correct option.
To find the correct proportion we need to know about the properties of slimier polygon.
<h3>What are the properties of similar polygon?</h3>Two polygons are said to be similar or congruent pentagon-
The corresponding angle of two pentagons are congruent.
The ratio of corresponding sides is same for all the sides.
The figure given in the problem of similar two polygons with six sides.
Rearrange the second figure as shown in figure.
As for the similar polygons, the ratio of corresponding sides is same for all the sides.
Thus the sides shown in the two rearranged figure must be same. Therefore,
Hence the correct proportion is,
Thus the option H is the correct option.
Learn more about the similar polygon here;
