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In the diagram below, BC is an altitude of ABD. To the nearest whole unit, what is the length of CD?

In The Diagram Below BC Is An Altitude Of ABD To The Nearest Whole Unit What Is The Length Of CD class=

Sagot :

akposevictor

Answer:

B. 23

Step-by-step explanation:

BC = 32

CA = 44

To find the length of CD, apply the altitude of right triangle formula, (altitude-on-hypotenuse theorem) which is given as:

h = √(xy)

Where,

h = CB = 32

x = CA = 44

y = CD = ?

Plug in the values

32 = √(44 × CD)

Square both sides

32² = 44 × CD

1,024 = 44 × CD

Divide both sides by 44

1,024/44 = CD

CD = 23 units (nearest whole unit)

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