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

In summary, using the formula for the area of a triangle, we can calculate the area of triangle CDE in terms of AG and DG. The area can be stated as 42, which is equal to the product of one third of AG and one third of DG, divided by 2. To find the area of triangle ADG, we can multiply both sides of the equation by a certain number.
  • #1
alextrainer
10
0
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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  • #2
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
(3)42 = 84/2 so b times h equals 84
 
  • #4
$$\frac{\frac13AG\cdot\frac13DG}{2}=42$$

Now, what number can we multiply both sides of the above equation by to find $\triangle{ADG}$?
 
  • #5
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)
 

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

What are "Right triangle proportions"?

Right triangle proportions refer to the relationships between the sides of a right triangle. These relationships are expressed using ratios and can be used to solve for unknown sides and angles of a right triangle.

What is the Pythagorean Theorem?

The Pythagorean Theorem is a mathematical formula that relates the lengths of the sides of a right triangle. It states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

How do I find the missing side of a right triangle using proportions?

To find the missing side of a right triangle using proportions, you can use the ratios of the known sides to the unknown side. For example, if you know the length of the hypotenuse and one of the other sides, you can use the Pythagorean Theorem to solve for the missing side.

Can I use proportions to find the angles of a right triangle?

Yes, proportions can also be used to find the angles of a right triangle. By using trigonometric ratios such as sine, cosine, and tangent, you can solve for the measure of the angles in a right triangle.

How are right triangle proportions used in real-world applications?

Right triangle proportions have many real-world applications, such as in engineering, architecture, and surveying. They can be used to calculate heights, distances, and angles in various structures and land formations. They are also used in navigation and map-making.

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