Math Problem Statement

What is x?

Solution

The image you uploaded appears to show two similar triangles. From the image:

  • The smaller triangle has a side labeled as xx and another side of length 16.
  • The larger triangle has a corresponding side of length 18.

Since the triangles are similar, we can use the property of proportional sides to find the value of xx. The ratio of the corresponding sides should be equal:

x16=1818\frac{x}{16} = \frac{18}{18}

This simplifies to:

x16=1\frac{x}{16} = 1

Multiplying both sides by 16:

x=16x = 16

So, the value of xx is 16.

Would you like further details on how this solution was obtained? Feel free to ask if you have any questions!

Here are some related questions:

  1. What are the properties of similar triangles?
  2. How can you use the Pythagorean theorem with similar triangles?
  3. How do you set up a proportion for similar triangles?
  4. Can you solve for missing angles in similar triangles?
  5. What other geometric properties are related to similar triangles?

Tip: Always check for a consistent ratio when dealing with similar triangles; it helps you easily find missing values!

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Math Problem Analysis

Mathematical Concepts

Geometry
Similar Triangles
Proportions

Formulas

Proportion formula: a/b = c/d

Theorems

Triangle Similarity Theorem

Suitable Grade Level

Grades 7-10