Question

ASAPP!!

Points Q and R are midpoints of the sides of triangle
ABC.
What is AQ?
10 units
14 units
20 units
32 units

Answer 1

20 units

Explanation:

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

Therefore, by mid-point formula:

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