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navik [9.2K]
3 years ago
14

ASAPP!!

Mathematics
1 answer:
Doss [256]3 years ago
4 0

Answer:

20 units

Step-by-step explanation:

In \triangle ABC, Points Q and R are midpoints of the sides AB and AC respectively.

Therefore, by mid-point formula:

RQ =  \frac{1}{2}  \times BC \\  \therefore \: 2p + 3 = \frac{1}{2}  \times(6p - 4) \\ \therefore \: 2p + 3 = \frac{1}{2}  \times2(3p - 2) \\  \therefore \: 2p + 3 = 3p - 2 \\ \therefore \: 2p  - 3p =  - 2  - 3\\ \therefore \:  - p =  - 5\\ \therefore \:   \:  \:  \:  \:  p =  5\\  \\  \because AQ = 4p \\  \therefore \:  AQ = 4 \times 5 \\   \huge \orange {\boxed {\therefore \:  AQ = 20 \: units}}

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