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the midsegment of △abc is lm. what is the length of al if lb is 20 inch…

Question

the midsegment of △abc is lm. what is the length of al if lb is 20 inches long? 40 inches 10 inches 30 inches 20 inches

Explanation:

Step1: Recall the mid - segment property

In a triangle, the mid - segment divides the two sides of the triangle proportionally. Since \(LM\) is the mid - segment of \(\triangle ABC\), \(L\) is the mid - point of \(AB\).

Step2: Calculate the length of \(AL\)

If \(LB = 20\) inches and \(L\) is the mid - point of \(AB\) (because \(LM\) is a mid - segment), then \(AL=LB\).

Answer:

10 inches