Question

In triangle ABC, segment PR is a midsegment, where segment PR connects midpoints of sides AB and AC. If the length of segment BC is 36 units, what is the length of segment PR?

A) x=3 inits
B) x=6 units
C) x=12 units
D) x=18 units

Answer 1

The length of segment PR, which is a midsegment of triangle ABC, is 18 units because it is half the length of side BC that is given as 36 units.

Step-by-step explanation:

The question is asking for the length of segment PR, which is a midsegment of triangle ABC. In geometry, a midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle.

According to the Triangle Midsegment Theorem, the length of the midsegment is half the length of the third side of the triangle, which in this case is side BC.

Given that the length of side BC is 36 units, the length of segment PR would be half of that, which is 18 units.

Therefore, the correct answer is:

D) x = 18 units