question_answer

The sides of a triangle have lengths 15 cm, 20 cm and 25 cm. What is the length (in. cm) of the shortest altitude of the triangle?

A) 6                                 

B) 12

C) 12.5                             

D) 13

Correct Answer: B

Solution :

[b] Shortest altitude is the perpendicular drawn from the vertex on the longest side. This being a right angled triangle \[\therefore \frac{1}{2}\times 20\times 15=\frac{1}{2}\times p\times 25\] \[\Rightarrow p=\frac{20\times 15}{25}=12\]