The altitude to the hypotenuse of a right triangle is the geometric mean between the segments on the hypotenuse.
a.)always
b.)sometimes
c.)never

Option A is correct .i.e., Always

Step-by-step explanation:

There is a result of similarity of triangle which states that,

If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse then triangles on both sides of the perpendicular are similar to the whole triangle and to each other.

Let ΔABC with ∠B = 90° and BD ⊥ AC

from above result,

ΔABD is similar to ΔCBD

considering first equality we get,

BD² = AD . CD

This Proves that the altitude to the hypotenuse of a right triangle is always the geometric mean between the segments on the hypotenuse.

.

Therefore, Option A is correct.

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

answer is : muchas/tipicas

have a nice day!

~recklesschicken