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Stella [2.4K]
3 years ago
6

In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AH=4 and HC=1, find BH.

Mathematics
2 answers:
Georgia [21]3 years ago
7 0

Answer:

BH = 2

Step-by-step explanation:

The altitude divides the triangle into similar triangles. The ratio of the long side to the short side is the same for all, so ...

 AH/BH = BH/HC

 4/BH = BH/1

 4 = BH² . . . . multiply by BH

 2 = BH . . . . . take the square root

neonofarm [45]3 years ago
3 0

Answer:

  BH = 2

Step-by-step explanation:

The altitude divides the triangle into similar triangles. The ratio of the long side to the short side is the same for all, so ...

  AH/BH = BH/HC

  4/BH = BH/1

  4 = BH² . . . . multiply by BH

  2 = BH . . . . . take the square root

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