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

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)