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BRoСADA geometry student says: "1 got lost in that lesson - I wrote down that are = but I have no ideawhere it comes from."Which of the following should have been the proportion that the student wrote?

Sagot :

The correct choice is option A as follows;

[tex]\frac{AD}{AB}\text{ = }\frac{AB}{AC}[/tex]

Here, we want to look at the correct ratio that should have been written

To write correct ratio, we need to identify similar triangles

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

We take a look at the options given to check which is correct

Looking at the options, we have it that the correct choice here is considering the triangles ABD and triangle ABC as similar

Working with the individual bases, we have the correct ratio as;

[tex]\frac{AD}{AB}\text{ = }\frac{AB}{AC}[/tex]