Answer:
h = 40.5 m
A) 1 : 9
B) 1 : 3
C) 40.5 m
Step-by-step explanation:
Let the height of the larger triangle be h
Therefore,
[tex] \frac{10}{90}= \frac{4.5}{h}\\\\
\frac{1}{9}= \frac{4.5}{h}\\\\
h = 9\times 4.5\\\\
h = 40.5\:m\\[/tex]
A)
The ratio of the area of small triangle to the large triangle
[tex] =\frac{10}{90}=\frac{1}{9}=1 : 9[/tex]
B)
The ratio of the side length of small triangle to the side length of large triangle
[tex] =\sqrt{\frac{10}{90}} =\sqrt {\frac{1}{9}} =1 : 3
[/tex]
C) The height of the larger triangle is 40.5 m
