Question

The area of a triangle is 150 cm square and its sides are in the ratio 3 : 4 : 5. What is its perimeter? a. 10 cm b. 30 cm c. 45 cm d. 60 cm *
1 point​

Answer 1

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

sum of sides of triangle

=

2

36+48+60

=72 cm

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

=864cm2

Answer 2

Answer:

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