In a triangle ABC, P is the midpoint of BC. If AB = (2x + 4) cm, AC = 6 cm and AP⊥ BC,
then the value of x is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 1.
When a median AP is perpendicular to the side it bisects (BC), then triangle ABC is a right triangle, and the triangle is isosceles in terms of the two sides from A (i.e., AB and AC must be equal).
AB = AC
⇒ 2x + 4 = 6
⇒ 2x = 2
⇒ x = 1