area of triangle is 160cm² and sides are in ratio 3:4:5 find its perimeter
Answers
Answered by
1
Answer:
Step-by-step explanation:
area of triangle =√s[(s-a)(s-b)(s-c)]/2..{heron's formula}..................s=perimeter/2 .....s=3x+4x+5x/2 =12x/2 =6x
160=√6x[(6x-3x)(6x-4x)(6x-5x)}
160=√(6x)(3x)(2x)(1x)
160=√(18x)(2x)
160=√2x*3x*3x*2x= 2x*3x
160=6x
160/6=x
26.66...
sides of triangle will be
3x=3×26.66...=80cm
4x=4×26.66...=106.666...cm
5x=5×26.66...133.333...cm
perimeter =80+106.666+133.333
=319.999[probably]
Similar questions