a 21-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece
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Answer:
<h2>Angle ADF is equal to 52° and angle FDC is equal to 38°.</h2>Step-by-step explanation:
In the image attaches, you can observe that angles ADF and FDC are complementary angles, because they sum 90°.
And we know that
Replacing these expressions, we have
Then, we replace this value in each expression to find both angles measures.
Therefore, angle ADF is equal to 52° and angle FDC is equal to 38°.
By comparing the perimeters, we can deduce the scaling factor:
The areas scale with the square of the scaling factor, so the new area is