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Dominik [7]
3 years ago
7

Patrick is replacing a door in his house. It has a height of 80 inches and its diagonal is 89 inches. What is the width of the d

oor?
The door is __________ inches wide.
Mathematics
1 answer:
Sedbober [7]3 years ago
6 0
72 I think I hope its right I had to write all over my paper lol
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Triangle ABC is isosceles with AB=CB. Circle M is inscribed in Triangle ABC such that it is tangent at points D, E, and F. If th
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The answer is "12 inches".

Step-by-step explanation:

Please find the image file of the graph.

We know AE = CF \ and \ EB = FB so because the triangle is isosceles.

EB = 2x, FB = 2x,\ and \ CF = x when AE is called by x.

We know that AE = AD = x since E and D are tangent points to a circle.

They have CD = CF = x since D and F are tangent points only to circle.

Thus, if the perimeter is 32, the following is the result:

\to AE + EB + BF + FC + CD + DA = 32\\\\\to x + 2x + 2x + x + x + x = 32\\\\\to 8x = 32\\\\\to x = 4

Therefore the length of BC = BF + FC = 2x + x = 3x = 12\  inches

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Step-by-step explanation:

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