point x is the circumcenter of δabc. what is the length of mb? 1.5 cm 2 cm 2.5 cm 3 cm
point x is the circumcenter of δabc. what is the length of mb? 1.5 cm 2 cm 2.5 cm 3 cm
Answer
Explanation:
Step1: Recall circumcenter property
The circum - center of a triangle is equidistant from the vertices of the triangle. Also, the perpendiculars from the circum - center to the sides of the triangle bisect the sides. In right - triangle (XMB), we know that (XA = XB=XC) and (XM\perp AB). Since the perpendicular from the circum - center to a side of the triangle bisects the side, (AM = MB).
Step2: Identify given length
We are given that (AM = 2.5) cm.
Answer:
C. 2.5 cm