Tell whether a triangle can have sides with the given lengths explain? Explain. 4,7,10
1 answer:
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Answer:
Length of first piece = 1.7058823 ft
Length of second piece = 4(1.7058823) = 6.82352941 ft
Length of third piece = 12(1.7058823) = 20.47058823 ft
Step-by-step explanation:
As given, Total length of the board = 29 ft
Let the board is divided into 3 pieces
Suppose that the length of first piece = x ft
As given, the second piece is 4 times longer than the first
⇒Length of second piece = 4x ft
Also given, the third piece is 3 times longer than the second.
⇒Length of third piece = 3(4x) = 12x ft
Now,
As total length of board = 29
⇒ x + 4x + 12x = 29
⇒ 17x = 29
⇒ x = = 1.7058823 ft
∴ we get
Length of first piece = 1.7058823 ft
Length of second piece = 4(1.7058823) = 6.82352941 ft
Length of third piece = 12(1.7058823) = 20.47058823 ft
Since APB is diameter of the circle, and angle CPB measures 30. That means that angle APC measures 150 degrees. We will use that measure now in our arc length formula with given diameter of 24: 
. All that reduces down to 