The value of x is 12 and y is 6.
what is similarity?
Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical. For example, the sun and moon might appear the same size but they are actually different in size. However, we are similar figures since both the figures are circular in nature.
Two triangles will be similar if the angles are equal (corresponding angles) and sides are in the same ratio or proportion(corresponding sides). Similar triangles may have different individual lengths of the sides of triangles but their angles must be equal and their corresponding ratio of the length of the sides or scale factor must be the same. If two triangles are similar that means,
- All corresponding angle pairs of triangles are equal.
- All corresponding sides of triangles are proportional.
As per the situation we have given that
The similarity in figures show that the angles are equal.
Also, the corresponding sides are also equal.
Hence, the value of x is 12 and y is 6.
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