Question

Pls help me I need to pass my math class,

Answer 1

The lengths are JN = 44, QM = 22, and QP = 44, determined by the 2:1 ratio of medians from the centroid in triangle JKL.

In a triangle, the medians intersect at the centroid, dividing each median into segments with a 2:1 ratio. Given that JQ = 22 and LQ = 16, we can find:

1. JN: Since Q is the centroid,
`\(JN = 2 * JQ = 2 * 22 = 44\)`.

2. QM:
`\(QM = (1)/(3) * JP\)`, where JP is the full length of the median. To find JP, we can use the fact that the ratio of JQ to QP is 2:1. Thus,
`\(QP = 2 * JQ = 2 * 22 = 44\)`, and JP = JQ + QP = 22 + 44 = 66. Therefore,
`\(QM = (1)/(3) * 66 = 22\)`.

3. QP: As calculated above, QP = 44.

So, the lengths are:

- JN = 44

- QM = 22

- QP = 44