Question

Based on the side lengths alone, could the triangles be similar? Triangle R S T. Side R S is 3 centimeters, side S T is 6 centimeters, and side R T is 6.4 centimeters. Triangle W X U. Side W X is 16 centimeters, side X U is 7.5 centimeters, and side W U is 15 centimeters. No, the sides are not proportional. Yes, the sides are in the ratio 2:5. Yes, the sides are in the ratio 4:5. Yes, the sides are in the ratio 1:5.

Answer 1

Answer:

Yes, the sides are in the ratio 2:5.

Step-by-step explanation:

All sides divided by each congruent side are = to .4 and 2/5 is = to 4/10

Answer 2

The sides of triangles are not proportional, thus the triangle is not similar triangle.

What is triangle?  

Triangle is "a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees".

What is similar triangles?

If the ratio of the "sides of the triangles ΔABC and ΔDEF are equal then the triangles are similar triangles".

According to the question,

In ΔRST and ΔWXU are similar triangle if ∠R = ∠W; ∠S = ∠W; ∠T=∠U

then   $\frac{RS}{WX} = \frac{ST}{XU}$ .

In ΔRST, side RS is 3 centimeters, side ST is 6 centimeters, and side RT is 6.4 centimeters. In ΔWXU, Side WX is 16 centimeters, side XU is 7.5 centimeters, and side WU is 15 centimeters.

$\frac{3}{16} = \frac{6}{7.5} = \frac{6.4}{15}$  

Hence, the sides are not proportional then the triangle is not similar triangle.

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