2 years ago

What is the length of the red segment in the graph below?

Mathematics

1 answer:

Anon25 [30]2 years ago

7 0

Answer: b 1.20

Step-by-step explanation:

b 1.20

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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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Answer:

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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