Question

CD, AE, and FB are medians of AABC. Find the given measures.

GE=
FA=
BC=
F
LL
A
5
8
D
E
6.5
B

Answer 1

To find the lengths of medians GE, FA, and BC in triangle ABC using the medians formula, you can use the following expressions:

1. \(GE = \frac{1}{2} \times CD\)

2. \(FA = \frac{1}{2} \times AE\)

3. \(BC = \frac{1}{2} \times FB\)

Given the values you provided:

- \(CD = 5\)

- \(AE = 8\)

- \(FB = 6.5\)

You can substitute these into the formulas to find the lengths of GE, FA, and BC. Calculating:

1. \(GE = \frac{1}{2} \times 5 = 2.5\)

2. \(FA = \frac{1}{2} \times 8 = 4\)

3. \(BC = \frac{1}{2} \times 6.5 = 3.25\)

So, the lengths are:

- \(GE = 2.5\)

- \(FA = 4\)

- \(BC = 3.25\)