Questions: Find the length of CD. Round to the nearest tenth. (Use distance formula). a. 3.6 b. 4.5 c. 5.4 d. 2.8

Find the length of CD. Round to the nearest tenth. (Use distance formula).
a. 3.6
b. 4.5
c. 5.4
d. 2.8
Transcript text: Find the length of CD. Round to the nearest tenth. (Use distance formula). a. 3.6 b. 4.5 c. 5.4 d. 2.8
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Solution

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Solution Steps

Step 1: Identify the coordinates of points C and D

The coordinates of point C are (3, 1) and the coordinates of point D are (0, -1).

Step 2: Apply the distance formula

The distance formula is given by: √[(x₂ - x₁)² + (y₂ - y₁)²]

Substitute the coordinates of points C and D into the formula: CD = √[(3 - 0)² + (1 - (-1))²] CD = √[(3)² + (2)²] CD = √(9 + 4) CD = √13

Step 3: Calculate and round to the nearest tenth

CD = √13 ≈ 3.60555 Rounding to the nearest tenth gives 3.6.

Final Answer: The final answer is $\boxed{3.6}$

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