10
M M
1. In the figure, ZLMN = ZLKN = 90°. Seg MK 1 Seg LN.
Complete the following activity to prove R is the midpoint of Seg MK.
Proof: In SLMN, LLMN = 90°, Seg MR 1 hypotenuse LN.
- By property of geometric mean,
MR2 =
Х
-----(1)
In ALKN, LLKN = 90°
seg'KR I vypotênuse LN
A
By property of geometric mean,
KR2 =
X Х
----(2)
From (1) & (2), we get
MR2 =
MR =
R is the midpoint of seg MK.
R
N
K K
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