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Find the length of the altitude to the hypotenuse. Round the answer to the nearest tenth. Solve for AD.

Find The Length Of The Altitude To The Hypotenuse Round The Answer To The Nearest Tenth Solve For AD class=

Sagot :

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Answer:

  AD = 2.4

Step-by-step explanation:

All of the triangles in this figure are similar, so their corresponding sides have the same ratios.

The short side of ΔABD is 3/5 of the hypotenuse, which is 4.

  AD/AB = CA/CB . . . . = short side/hypotenuse

  AD = AB(CA/CB) = 4(3/5) = 2.4

The length of AD is 2.4 units.

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You can also go at this in terms of area.

  A = 1/2bh = 1/2(3)(4) = 1/2(5)(AD)   ⇒   AD = 12/5 = 2.4

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