Question

the area of a triangle is 150sqcm and its sides are in the ratio of 3:4:5.what is the perimeter ​

Answer 1

let sides be 3x ,4x,5x .......

now since it is a right angled triangle as it follows pathagorus theorem ...

(3x)² +(4x)² = (5x)²

its area = 150cm²

1/2×base×altitude =150

1/2×3x ×4x = 150

6x² =150

x= +5 0r _5

but it is side of TRIANGLE so can't b negative so x= 5

now sides are

3x = 3×5=15cm

4x=4×5=20cm

5×5=25cm

THEREFORE perimeter = 15+20+25= 60cm