In the figure below, triangle JKL is isosceles, with JK = LK, and triangle LMN is equilateral. K M M N L Note: picture not drawn
to scale If m<ZJKL = 32, what is m<ZKLM? A 56 B. 41 C. 51 D. 46
1 answer:
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Answer:
The chord is bisected.
Step-by-step explanation:
see the attached figure to better understand the problem
In the circle of the figure
The diameter is the segment DE
The chord is the segment AB
PA=PB=r ----> radius of the circle
Triangles PAC and PBC are congruent right triangles by SSS
Because
PA=PB
PC is a common side
AC=BC ----> Applying Pythagoras Theorem
therefore
The chord AB is bisected
