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If RU= 8, US= 14, TV= x-1, and VS= 17.5, find x and TV.

If RU= 8, US= 14, TV= x-1, and VS= 17.5, find x and TV.-example-1

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2 votes
Answer:

x = 11, TV = 10

Explanations:

According to the Thales theorem:


(RU)/(US)=\text{ }(TV)/(VS)

RU = 8

US = 14

TV = x - 1

VS = 17.5

Substitute these values into the equation for the thales theorem

8/14 = (x-1) / 17.5

Cross multiply

8 (17.5) = 14(x - 1)

140 = 14 (x - 1)

140/14 = x - 1

10 = x - 1

x = 10 + 1

x = 11

To get the value of TV, substitute x = 11 into TV = x - 1

TV = x - 1

TV = 11 - 1

TV = 10

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