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in right triangle RST altitude TV is drawn to hypotenuse RS If RV = 12 and RT = 18, what is the length of SV

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Answer:

12

Step-by-step explanation:

Given that:

RV = 12 and RT = 18

Kindly refer to attachment for triangle diagram:

Using the altitude on hypotenus theorem :

Length of RS = 12 + a

RT² = RV * RS

18² = 12 * (12 + a)

324 = 12(12 + a)

324 = 144 + 12a

324 - 144 = 12a

180 = 12a

Divide both sides by 12

180/12 = a

15 = a

Hence, SV = 12

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