The lengths (in cm) of three sides of a triangle are, respectively, 48, 55 and 73. What is the length (in cm) of the median joining the mid-point of the longest side to its opposite vertex?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 36.5.
In a right-angled triangle,
length of the median-joining the mid-point of the longest side to its opposite vertex = Hypotenuse/2
48, 55, and 73 are the sides of a right-angled triangle because it follows Pythagoras theorem.
length of the median-joining the mid-point of the longest side to its opposite vertex = Hypotenuse/2
⇒ 73/2 = 36.5 cm