Question

In a triangle it is given that the sides are 22 cm 24 cm and 25 cm then find the length of the longest altitude of the triangle

Answer 1

Answer:

21.87 cm

Step-by-step explanation:

Use hero formula to get area of triangle

=√(s(s-a)(s-b)(s-c))

a b c are sides of triangle

s = (a+b+c)/2

s = (22 + 24 + 25)/2

s = 71/2

Area = √((71/2)(71/2- 22)(71/2- 24)(71/2 -25))

Area = √((71/2)(27/2)(23/2)(21/2))

Area = √(925911/16)

Area = 962.24/4

Area = 240.56 cm^2

Longest altitude will be on shortest side

= (1/2) * 22 * longest atltitude = 240.56

Longest altitude = 240.56/11

Longest altitude =  21.87 cm