Question

the side of atriangle are in the ratio of 3:4:5and its perimeter is 24 find the area of a triangle​

Answer 1

let the ratio be x

3x+4x+5x=24

x,=2

now

side of triangle

ab=6

bc=8

ca=10

now

using using paythagores theorem

100=64+36

so it is right angle triagle of hypotenuse 10

so area of triangle

(1/2)*6*8

24square unit

Answer 2

let the side be 3x,4x and 5x

3x+4x+5x=24

12x=24

x=24

3x=36

4x=48

5x=60

since (3,4,5)is a pythgorean triplet

therefore36,48,60 are sides of a right angled traingle

area of traingle = 1/2 × b ×h

1/2 x 36 x48

864 ans

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