Respuesta :
Using AA similarity postulate.
What is AA similarity postulate?
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 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.
We use the "∼" symbol to represent the similarity. So, if two triangles are similar, we show it as △QPR ∼ △XYZ
AA similarity criterion states that if any two angles in a triangle are respectively equal to any two angles of another triangle, then they must be similar triangles. AA similarity rule is easily applied when we only know the measure of the angles and have no idea about the length of the sides of the triangle. In the image given below, if it is known that ∠B = ∠G, and ∠C = ∠F.
Given: PHT is a right triangle and HY is an altitude
as, <PHT= <HYT
<T=<T (common)
so, AA similarity postulate the triangles are similar.
Learn more about similarity of triangles here:
https://brainly.com/question/12811556
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