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sleet_krkn [62]
2 years ago
13

Find the value of in the triangle shown below9, 7, and x around the triangle ​

Mathematics
1 answer:
borishaifa [10]2 years ago
3 0

Answer:

Step-by-step explanation: 56

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<u>Question 1</u>

If we let FE=x, then DE=x-5.

Also, as \overline{DF} bisects \overline{BC}, this means BE=EC=6.

Thus, by the intersecting chords theorem,

6(6)=x(x-5)\\\\36=x^2 - 5x\\\\x^2 - 5x-36=0\\\\(x-9)(x+4)=0\\\\x=-4, 9

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If we let CE=x, then because AB bisects CD, CE=ED=x.

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By the intersecting chords theorem,

2(32)=x^2\\\\64=x^2\\\\x=-8, 8

However, as distance must be positive, we only consider the positive case, meaning CE=8

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