Base in the definition of similar triangles, to find the length of segment AC the expression that could be used is:
C. AC = (AB × AY)/AX.
Triangles that have the same shape but different sizes, or has congruent corresponding angles but has corresponding sides that are proportional to each other are referred to as similar triangles.
When two triangles are similar to themselves, the ratio of their corresponding sides would be the same because the corresponding sides of similar triangles are usually proportional to each other.
Thus, given that triangle AXY is similar to triangle ABC, therefore, we would have the following ratios:
AB/AX = AC/AY = BC/XY
Therefore, to find the length of AC, we would use the following:
AB/AX = AC/AY
(AC × AX) = (AB × AY)
Divide both sides by AX
(AC × AX)/AX = (AB × AY)/AX
AC = (AB × AY)/AX
Therefore, to find the length of segment AC the expression that could be used is:
C. AC = (AB × AY)/AX.
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