A factory uses 3/8 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 3/4 of a barrel of raisins.
1 answer:
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Answer: Yes it is possible to construct a triangle and it will be an isosceles triangle.
Step-by-step explanation:
The triangle inequality says that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.
The given sides of the triangle is 4 inches, 4 inches, and 7 inches.
Here,
So by triangle inequality, a triangle with sides 4 inches, 4 inches, and 7 inches. is possible.
Since it has two equal sides as 4 inches , then it must be an isosceles triangle.
Answer:
Step-by-step explanation:
To start calculating, we first need to make some proof.
Firstly, since AB = AC, we know that ΔABC is isosceles, which means that ∠ABC = ∠ACB.
Now, looking only to ΔBDE and ΔCDF, we can see that they are similar, because the two of its angles are congruent:
∠BED=∠CFD
∠DBE=∠DCF
To make it easier to visualize which are the corresponding vertexes, we can draw them like this:
And we need to remember that BC is 24, so:
BD+CD=24
Since the triangles are similar, their corresponding sides have constant ratio, which we can calculate from the corresponding sides DE and CF:
This ratio is the same for the other corresponding sides, so we can apply that for BD and CD:
Thus, the measure of CF is approximately 13, alternative D.
