PLEASE HELP! it’s would be really appreciated
1 answer:
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If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.
So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.
This means that the perimeter is
feet long. But we know that this is 510 feet, so we have
.
So, the three sides are 110, 160 and 240 feet long.
To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if is half the perimeter of the triangle whose sides are
, the area
is given by
In our case, so the formula becomes
Answer:
Step-by-step explanation:
First, it is important to know that the scale factor is defined as a ratio of two corresponding side lengths of similar figures.
Similar figures are defined as those figures in which the ratio of their corresponfing side lengths are equal and their corresponding angles are congruent (which means that they have the same measure).
In this case, you know that the rectangles given in the picture are similar.
Therefore, you can find the scale factor that was applied to the first rectangle to get the resulting image, dividing the lenghts of their corresponding sides.
Then, this is: