There are two squares, square ABCD and suquare ABEF. The side of both square is 12 cm. Find the area of the triangle AOG that is in shade. The picture is below. ### 创新挑战如图，两个边长为12厘米的正方形拼在一起，那么阴影三角形的面积是———平方厘米。### 图解The diagram shows two squares placed next to each other, each with a side length of 12 centimeters. There is a shaded triangle formed by several intersecting lines within the composite rectangle made by the two squares.- **Label Explanation:** - The diagram includes points labeled as F, A, O, E, D, C, B, and G. - Points O and G are critical in forming the shaded triangle within the larger rectangle. ### TaskThe challenge is to find the area of the shaded triangle formed by this configuration.

There are two squares ABCD and ABEF. The side of the square is 12 cm.

Answered: There are two squares, square ABCD and…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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There are two squares, square ABCD and suquare ABEF. The side of both square is 12 cm. Find the area of the triangle AOG that is in shade. The picture is below.

### 创新挑战

如图，两个边长为12厘米的正方形拼在一起，那么阴影三角形的面积是———平方厘米。

### 图解

The diagram shows two squares placed next to each other, each with a side length of 12 centimeters. There is a shaded triangle formed by several intersecting lines within the composite rectangle made by the two squares.

- **Label Explanation:**
- The diagram includes points labeled as F, A, O, E, D, C, B, and G.
- Points O and G are critical in forming the shaded triangle within the larger rectangle.

### Task

The challenge is to find the area of the shaded triangle formed by this configuration.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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