Question

The sides of a triangle are 20 cm, 37 cm and 51 cm, respectively. The length of its longest altitude​

Answer 1

Answer:

s=

2

a+b+c

=

2

35+54+61

=75

Area, A=

s(s−a)(s−b)(s−c)

=

75(75−35)(75−54)(75−61)

=420

5

cm

2

Now, Area of the triangle is also given as A=

2

1

×a×h

Where, h is the longest altitude.

Therefore,

2

1

×a×h=420

5

Hence, h=24

5

cm