Question

Solve the question please

Answer 1

Answer:

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Answer 2

Answer:

ANSWER

Given, Side of triangle are in ratio 3:4:5 and their perimeter 144 cm

Let the sides of triangle be 3x,4x,5x

Perimeter 3x+4x+5x= 144 cm

12x=144

∴x=12

Then sides of triangle are 3x= 3×12= 36 cm,

4x= 4×12= 48 cm,

5x= 5×12= 60 cm.

Now,Semi perimeter, s=

2

Sumofsidesoftriangle

=

2

36+48+60

=72cm

Using heron's formula, Area of triangle=

s(s−a)(s−b)(s−c)

=

72(72−36)(72−48)(72−60)

=

72×36×24×12

=864cm

2

Using altitude, area of triangle=

2

1

× base × altitude =864cm

2

=

2

1

×60× altitude =864

∴ altitude =

60

864×2

=28.8cm

So, altitude corresponding to largest side is 28.8 cm.