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2 years ago

The midsegment of triangle ABC is LM. What is the length of AC if LM is 15 inches long?

Mathematics

2 answers:

Arte-miy333 [17]2 years ago

6 0

The answer is 30 inches.

tresset_1 [31]2 years ago

4 0

Answer:

30 inches

Step-by-step explanation:

It is given that The mid segment of triangle ABC is LM. We know that A midsegment is the line segment connecting the midpoints of two sides of a triangle. A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.

Consider triangle ABC and LM is the midsegment of this triangle. Then, according to the definition of mid segment, we have:

$LM=\frac{AC}{2}$

⇒ $15=\frac{AC}{2}$

⇒ $AC=15{\times}2$

⇒ $AC=30inches$

Thus, the length of AC is 30 inches.

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