Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
2 similar right triangles. Triangle 1 has side length 8, hypotenuse 10, and blank side. Triangle 2 has side length 4, hypotenuse 5, and blank side.
a.
StartFraction 4 Over 10 EndFraction = StartFraction 5 Over 8 EndFraction = two-fifths
b.
StartFraction 4 Over 8 EndFraction = StartFraction 5 Over 10 EndFraction = one-half
c.
StartFraction 10 Over 4 EndFraction = StartFraction 8 Over 5 EndFraction = Five-halves
d.
StartFraction 4 Over 5 EndFraction = StartFraction 8 Over 10 EndFraction = four-fifths

Step-by-step explanation:

If the given right triangles are similar, that meanst they have a ration in common, that is, one of them can be double size the other one. In other words, they are related by a scale ratio.

Notice, that one hypothenuse is double the other one, that is, 10 is double than 5. Also, 8 is double than 4. This means the scale factor is 2, one triangle has double size than the other.

Therefore, the proportion that relates these triangles is

or

Therefore, the right answer is B.

b is the correct answer

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