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  • 22-01-2020
  • Mathematics
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Find the missing lengths:
OK=1 and OL=3, find KH and LH.

Find the missing lengths OK1 and OL3 find KH and LH class=

Respuesta :

Matheng
Matheng Matheng
  • 09-02-2020

Answer:

KH = 2  and  LH = 2√3

Step-by-step explanation:

Using Euclidean theorem for the right triangle.

∵ ΔLHK is a right triangle at H

OK = 1 , OL = 3

KL = KO + OL = 1 + 3 = 4

KH² = KO * KL = 1 * 4 = 4

KH = √4 = 2

And LH² = LO * LK = 3 * 4 = 12

∴ LH = √12 = 2√3

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