Answer:
The height of smaller triangle is 16 meter
Step-by-step explanation:
Given as :
The Ratio of perimeter of two similar triangle = 3 : 5
The height of larger triangle = 12 meters
The height of smaller triangle = h meters
Since The Triangle is similar than
[tex]\frac{perimeter of larger triangle}{perimeter of smaller triangle}[/tex] = [tex]\frac{12}{h}[/tex]
Or, [tex]\frac{3}{4}[/tex] = [tex]\frac{12}{h}[/tex]
Or , h = [tex]\frac{48}{3}[/tex]
∴ h = 16 meter
Hence The height of smaller triangle is 16 meter Answer