In the triangles, TR = GE and SR = FE. If Line segment G F = 3.2 ft, which is a possible measure of Line segment T S?
2 answers:
Answer:
A possible measure of Line segment TS is 4.0 ft
Step-by-step explanation:
<u><em>The options of the question are</em></u>
1.6 ft 3.0 ft 3.2 ft 4.0 ft
we know that
In any triangle:
The shortest side is always opposite the smallest interior angle.
The longest side is always opposite the largest interior angle
In this problem
That means
Rewrite the expression
so
therefore
A possible measure of Line segment TS is 4.0 ft
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The dimensions of the rectangle are: b=9.65 cm and h=4.35 cm or b=4.35 cm and h= 9.65 cm.
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The question gives:
Perimeter=28cm
Area= 42 cm²
If the perimeter is the sum of all sides of the rectangle, you have:
Perimeter= 2b+2h=28
If the area of the rectangle is 42cm², you have:
Area=bh=42 cm²
You can write a system of linear equations.
2b+2h=28 (1)
bh=42 (2)
From equation 2, you have . Then, you can replace it in equation 1.
Now, you should solve the quadratic equation.
If h1=9.65 cm, then , and if h2=4.35 cm, then
.
Read more about the quadratic function here:
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