Question

NEED HELP ASAP! Triangles RST and UVW are similar. Find the missing side y?

A.) 10.965
B.) 11.345
C.) 10.15

Answer 1

Step-by-step explanation:

A.)10.965

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Answer 2

Answer: C) y = 10.15

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Step-by-step explanation:

RS and UV are the first two letters of RST and UVW respectively. So that means RS corresponds to UV to form the ratio RS/UV.

RT and UW are the first and last letters of RST and UVW. So we have RT/UW as another ratio. This ratio is equal to the first ratio we found since the triangles are similar. Similar triangles have their corresponding sides be in proportion with one another.

So we can form this equation

RS/UV = RT/UW

Let's apply substitution and solve for y

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RS/UV = RT/UW

10/(14.5) = 7/y ...... substitution

10*y = 14.5*7 ........ cross multiply

10y = 101.5

y = 101.5/10 ....... dividing both sides by 10

y = 10.15