In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ah=4 and hc=1, find bh.

The measure of BH from the given diagram is 2

In order to get the measure of BH, we will use the similarity theorem of a triangle as shown:

From the triangle

AH/BH = BH/HC

Given the following parameters

AH=4

HC=1

Substitute the given parameters into the expression above to have:

4/BH = BH/1

Cross multiply

BH^2 = 4 * 1

BH^2 = 4

BH  = √4

BH = 2

Hence the measure of BH from the given diagram is 2

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  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

step-by-step explanation:

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