Question

Can you help answer how do you know that the triangles are similar? And complete the proportion ratio?

Answer 1

`(b)/(c)=(d)/(b)`

1) Similar triangles have proportional corresponding sides and congruent corresponding angles.

2) So, let's find the corresponding sides so that we can write the ratios that display this property.

Note that in the first triangle, c is the hypotenuse and b the second-largest leg.

3) So, the answer is:

`(b)/(c)=(d)/(b)`