Engineering Board Exam Reviewer · Triangles · medium

Find the length of the median drawn to the side of length 12 in the triangle with sides 9, 12 and 15.

  1. 7.5
  2. 21.64
  3. 12
  4. 10.82

Answer

D. 10.82

Solution

m= 12sqrt(2(9)2+2(15)2-122)= 12sqrt(468)=10.82.

More Triangles questions

  1. In triangle ABC, D is on AB and E is on AC with DE BC. If AD=4, AB=10 and BC=15, find DE.
  2. Find the altitude to the hypotenuse of a right triangle whose sides are 6, 8 and 10.
  3. The median of a triangle from a vertex is 18 cm long. How far is the centroid from that vertex, in cm?
  4. A 6-ft person casts a 4-ft shadow at the same time a pole casts a 20-ft shadow. Find the height of the pole in feet.
  5. Find the altitude of an equilateral triangle whose side is 12.
  6. The legs of a right triangle are 8 and 15. Find the hypotenuse.
  7. Two angles of a triangle are 40° and 65°. Find the third angle.
  8. The angles of a triangle are in the ratio 2:3:4. Find the largest angle.
  9. In a triangle, one angle is 40° and another is 65°. Find the exterior angle at the third vertex.
  10. An isosceles triangle has a vertex angle of 50°. Find each base angle.

All Triangles questions