Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

PLEASE HELP WILL MARK BRAINLIEST!

In the diagram, XY = 12, XZ = 15, YZ = 17.
What is BC?

BC = ?

PLEASE HELP WILL MARK BRAINLIEST In The Diagram XY 12 XZ 15 YZ 17 What Is BC BC class=

Sagot :

Answer:

Firstly, from the diagram we are given that the length of XB is congruent to BZ, and YC is congruent to CZ. Based on this information, we know that B is the midpoint of XZ, and C is the midpoint of YZ. This means that BC connects the midpoints of segments XZ and YZ. Now that we know this, we can use the Triangle Midsegment Theorem to calculate the length of BC. This theorem states that if a segment connects the midpoints of two sides of a triangle, then the segment is equal to one-half the length of the third side. In this scenario, the third side would be XY, which has a length of 12 units. Therefore, the length of BC = 1/2(XY), and we can substitute the value of XY and solve this equation:

BC = 1/2(XY)

BC = 1/2(12)

BC = 6

Step-by-step explanation:

Please support my answer.