Question

The triangles pictured are similar. Fill in the blanks to solve for the missing side length.(3 points)Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.Set up equivalent ratios: 39= Response areaCross multiply: 3x= Response areaSolve for x: x= Response area milesSkip to navigation

Answer 1

To solve for the missing side length based on the similarity of the triangles, we follow these steps:

1. Set up equivalent ratios based on the corresponding sides of the triangles. Since we don't have the specific values given for the other sides, I'll use variables to represent them.

   Assuming:

   • In triangle 1, the corresponding side length is 39.
   • In triangle 2, the corresponding side length is \( x \).

   The equivalent ratio can be set up like this (if we denote the side length in triangle 2 as a known value, let's say \( a \)): \[ \frac{39}{a} = \frac{x}{b} \] (where \( b \) is another corresponding side length in triangle 2).

   If it's provided, say triangle 2's side length is 13, and then we set \( a = 13 \): \[ \frac{39}{13} = \frac{x}{b} \]

2. Cross multiply to find your equation: \[ 39b = 13x \]

3. Solve for x: \[ x = \frac{39b}{13} \] Simplifying: \[ x = 3b \]

4. Fill in the blanks with the appropriate values as per your specific problem. For example, if \( b = 15 \), then: \[ x = 3 \times 15 = 45 \]

Here you can insert:

• Set up equivalent ratios: 39 = \( \frac{x}{\text{(corresponding side of triangle 2)}} \)
• Cross multiply: 3x = (related product of the corresponding side)
• Solve for x: x = \( \text{(final calculated value)} \)

You would substitute the appropriate values based on your specific triangle dimensions.