What is the length of segment FG?
2 answers:
Answer:
D. 10.49
Step-by-step explanation:
(see attached for reference)
Here we have two right triangles formed by dividing a larger right triangle by the Altitude (height) of the larger right triangle.
In this special case, all 3 triangles (2 small and 1 large) are SIMILAR and hence we can use the ratios of similar triangles to solve this.
In our case, ΔGFE is similar to ΔGHF
hence FG/GE = GH/FG
We are given that GE = 10 and GH = 11, hence
FG/10 = 11/FG
FG² = (10)(11)
FG² = 110
FG = ±√110
FG= 10.49
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Keywords:
<em>Variables, televisions, generic version, TV brand, dimensions </em>
For this case we have two televisions, one generic version and one brand. We know that the generic version represents the size of the brand. We must define two variables that represent the dimensions of the brand TV, so we have:
- x: Brand TV length
- y: Brand TV width
Dimensions of the generic TV:
So:
By clearing the variables we have:
Thus, the dimensions of the brand TV are 18 inches by 36 inches
Answer:
The dimensions of the brand TV are 18 inches by 36 inches