Math Problem Statement

What is the height (x) of the second triangle given the base of the first triangle is 25 ft, its height is 18 ft, and the second triangle has a base of 23 ft?

Solution

It looks like you have an image with two triangles, and you want to find the value of xx. Based on the image, we can see the following:

  • The first triangle has a base of 25 ft and a height of 18 ft.
  • The second triangle has a base of 23 ft, and we need to find the value of xx, which I assume represents the height of this second triangle.

To solve this, we can use the principle of similar triangles if both triangles are indeed similar. If they are similar, the corresponding sides will be proportional, meaning:

height of first triangleheight of second triangle=base of first trianglebase of second triangle\frac{\text{height of first triangle}}{\text{height of second triangle}} = \frac{\text{base of first triangle}}{\text{base of second triangle}}

Using the given values: 18x=2523\frac{18}{x} = \frac{25}{23}

Now, let's solve for xx.

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Math Problem Analysis

Mathematical Concepts

Similar Triangles
Proportionality

Formulas

(Height1 / Height2) = (Base1 / Base2)

Theorems

Principle of Similar Triangles

Suitable Grade Level

Grades 8-10