Question

Hiro is creating a smaller scaled replica of a triangular canvas.

Which of the following expressions will help him determine the length of segment AB?


AB = AD


AB = AC


AB= AC times AE/AD


AB= AE times AD/AB

Answer 1

AB= AC times AE/AD

Explanation:

AB is on the segment AC, therefore it is proportional to AC .

In order to fulfill the requirement that triangle ABE is a smaller scaled replica of triangle ACD, a scale factor must be applied to the sides of the original figure; in this case, the factor is AE/AD.

Answer 2

AB= AC times AE/AD

Explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

In this problem

AB/AC=AE/AD

solve for AB

AB=(AC)(AE)/AD