What is the multiplier for finding the area of triangle ADG?

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Discussion Overview

The discussion revolves around calculating the area of triangle ADG using relationships with other triangles, particularly triangle CDE. Participants explore the application of the area formula for triangles and seek to establish a multiplier for the area of triangle ADG based on given dimensions and relationships.

Discussion Character

  • Mathematical reasoning
  • Exploratory
  • Homework-related

Main Points Raised

  • One participant expresses uncertainty about using a single area and line segments to calculate areas and line segments.
  • Another participant provides the area formula for a triangle and asks how to express the area of triangle CDE in terms of segments AG and DG.
  • A participant presents a calculation involving the area of a triangle, suggesting that the product of the base and height equals 84.
  • A later post reiterates the area equation and inquires about the multiplier needed to find the area of triangle ADG.
  • A participant comments on the difficulty of interpreting a referenced image, indicating a potential challenge in visualizing the problem.

Areas of Agreement / Disagreement

The discussion contains multiple competing views and remains unresolved regarding the specific multiplier needed for triangle ADG and the relationships between the areas of the triangles involved.

Contextual Notes

Participants have not fully clarified the assumptions regarding the dimensions of triangles ADG and CDE, nor have they resolved the mathematical steps needed to find the multiplier.

alextrainer
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Not sure how to use a single area and line segments that are same to calculate the areas and line segments for the areas.
 

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Using the formula for the area, $A$, of a triangle

$$A=\frac{bh}{2}$$

where $b$ is the base of the triangle and $h$ is the height of the triangle, can you state the area of triangle $CDE$ in terms of $AG$ and $DG$?
 
(3)42 = 84/2 so b times h equals 84
 
$$\frac{\frac13AG\cdot\frac13DG}{2}=42$$

Now, what number can we multiply both sides of the above equation by to find $\triangle{ADG}$?
 
greg1313 said:
$$\frac{\frac13AG\cdot\frac13DG}{2}=42$$

Now, what number can we multiply both sides of the above equation by to find $\triangle{ADG}$?

Greg, I'm glad you can read that tiny sideways image, because I sure can't. (Bandit)
 

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