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Kay [80]
3 years ago
9

7. Find DE ( Triangle mid-segment theorems)

Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0

Answer:

45 units

Step-by-step explanation:

See the given diagram with the question here.

The point D and point E are the midpoints of line segments AC and BC respectively.

Therefore, the length of the line joining points D and E will be half of length AB.

Now, given that AB = 11x - 25 and DE = 4x + 1.

Hence, ( 11x - 25 ) = 2 ( 4x + 1 )

⇒ 3x = 33

⇒ x = 11

Therefore, length DE = 4x + 1 = 4 ( 11 ) + 1 = 45 units. (Answer)

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