ΔAXY is similar to ΔABC.
1 answer:
The expression that can be used to determine the length of segment AB is: A. AB = (AX × AC)/AY.
<h3>When are Two Triangles Similar to Each Other?</h3>When the corresponding sides of two triangles have ratios that are equal, or have corresponding side lengths that are proportional to each other, both triangles are considered similar triangles to each other.
Given that triangles AXY and ABC are similar triangles sharing a common vertex A, therefore, the corresponding sides will have equal ratio which can be expressed as:
AB/AX = BC/XY = AC/AY
To find the length of segment AB, we would do the following:
AB/AX = AC/AY
Cross multiply
(AB)(AY) = (AX)(AC)
Divide both sides by AY
(AB × AY)/AY = (AX × AC)/AY
AB = (AX × AC)/AY
The expression we can use to find the length of segment AB can be:
A. AB = (AX × AC)/AY
Learn more about similar triangles on:
#SPJ1
You might be interested in
To solve for x, first, we add 3 to the given equation:
Dividing by 2, we get:
Therefore:
Finally, subtracting 5 we get:
Answer: