Practice30Create account

In a right-angled triangle the altitude drawn from the right-angle vertex to the hypotenuse has length 12. It divides the hypotenuse into two parts, one of which is 9. What is the length of the other part?

Competition practiceGeometry
  • A16
  • B12
  • C15
  • D20

Step-by-Step Solution

The altitude to the hypotenuse is the geometric mean of the two segments it makes: . So , giving and .
Answer: A) 16

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Geometry practice questions

More Geometry practice

A chord of a circle is 24 cm long. The perpendicular distance from the centre of the…Point P divides the line segment joining A(−2, 3) and B(6, −5) internally in the ratio…ABCD is a parallelogram with AB = 10 and AD = 6. The bisector of angle A meets side DC…In triangle ABC, D lies on AB and E lies on AC with DE parallel to BC. If AD = 4, DB = 6…An exterior angle of a triangle measures 110°. The two remote (opposite) interior angles…