Since these are similar triangles you can use any two corresponding sides to figure out the scale factor.
Use the bottom side. Going from the first triangle to the second the scale factor is:
15/9 = 5/3
The way to find Volume is V=lwh so plug in the length, width and height( V=(10)x(2/3)x(9) ) and you'll get your answer.
The area of the triangle is 14.1 square meters
<h3>How to determine the triangle area?</h3>
The side lengths are given as:
5m, 6m and 9m
Calculate the semi-perimeter (s) using
s = (5 + 6 + 9)/2
Evaluate
s = 10
The area is then calculated as:

This gives

Evaluate the products

Evaluate the exponent
Area = 14.1
Hence, the area of the triangle is 14.1 square meters
Read more about areas at:
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In the polygon ABCD, the production of point A' and point D' is (-2,-2) and (4,-2) respectively.
<h3>What is the transformation rule?</h3>
In coordinate planes, the rule of transformation involves interchanging the x and y values on the plane such that:

where;
From the given information:
- The scale factor = 2
- the origin as a center of dilation for image vertices = (0, 0)
Now, using the coordinate vertices:
The corresponding coordinate of the image vertices is as follows:
A(-1,-1) → A'(2 × (-1), 2 × (-1))
A' = (-2,-2)
D(2,-1) → A'(2 × (2), 2 × (-1))
D' = (4,-2)
Learn more about the transformation rule in coordinate planes here:
brainly.com/question/4251601
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