Question

The midsegment of AABC is LM. What is the length of AC if IM is 15 inches

long?
B
OA. 15 inches
OB. 8 inches
OC. 30 inches
OD. 45 inches
M
C

Answer 1

The midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle. In this case, we have triangle ABC with midsegment LM, and we're given that IM is 15 inches long.

The midsegment LM divides the third side AC into two equal segments. So, if IM is 15 inches long, then MC is also 15 inches long because they are equal halves of AC.

Now, if MC is 15 inches, AC is twice that length:

AC = 2 * MC

AC = 2 * 15 inches

AC = 30 inches

So, the length of AC is 30 inches, which corresponds to option (OC) - 30 inches.

Answer 2

C. 30 inches

Explanation:

A mid segment of a triangle is a segment that connects the midpoints of two sides of the triangle.

Midsegments are parallel to the third side of the triangle and half its length.

In this case, LM is the mid segment of triangle ∆ABC, connecting the midpoints of sides AC and BC.

We are given that:

IM is 15 inches long, so LM is half the length of AC. Therefore, the length of AC is 2 × 15 inches = 30 inches.

The answer is C. 30 inches.