# Triangle Q T S is shown. Angle A T S is a right angle. An altitude is drawn from point T to point R on side Q S to form a right angle. The length of T S is 3 x, the length of Q R is 6, and the length of R S is 12. What is the length of side TS? 2 StartRoot 6 EndRoot units 6 StartRoot 6 EndRoot units 24 units 8 units

2 answers

###### Question:

Triangle Q T S is shown. Angle A T S is a right angle. An altitude is drawn from point T to point R on side Q S to form a right angle. The length of T S is 3 x, the length of Q R is 6, and the length of R S is 12.

What is the length of side TS?

2 StartRoot 6 EndRoot units

6 StartRoot 6 EndRoot units

24 units

8 units

What is the length of side TS?

2 StartRoot 6 EndRoot units

6 StartRoot 6 EndRoot units

24 units

8 units

## Answers

Answer:6sqrt6 = 14.69 sqrt14,69 = 3.83closest divider to 4.12 as <4.5 TS <3.5 Step-by-step explanation:RS can be formed as a square so that = 12 can be used for other sides of that square to find the diagonal Where diagonal square = TS side12^2 x 12^2 = sqrt 144 + sq rt 144 = TS^2 TS^2 = sq rt 288 = 16.9705627 = 17 We then look at the choice answers 1, 2, 3, 4 sq rt 16.97 = 4.12310563 sq rt 17 = 4.11 where 2 sqrt 6 = 4.898989 so is incorrect.

Answer:B. 6[tex]\sqrt{6}[/tex]Step-by-step explanation:Edge 2021

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