Answer:
1. 120[tex]m^{2}[/tex]
2. 192[tex]ft^{2}[/tex]
3. 48[tex]cm^{2}[/tex]
Step-by-step explanation:
First triangle:
1. Find out the height
[tex]h^{2} +8^{2} =17^{2}[/tex]
[tex]h^2+64=289[/tex]
-64 -64
[tex]h^2=225[/tex]
h=15
2. Find the area
A=1/2 x 16 x 15
A=120[tex]m^{2}[/tex]
Second triangle:
1. Find out the height
[tex]h^2+16^{2} =20^{2}[/tex]
[tex]h^2+256=400[/tex]
-256 -256
[tex]h^{2} =144[/tex]
h=12
2. Find the area
A=1/2 x 32 x 12
A=192[tex]ft^{2}[/tex]
Third triangle:
1. Find out the height
[tex]h^2+6^2=10^{2}[/tex]
[tex]h^2+36=100\\[/tex]
-36 -36
[tex]h^2=64[/tex]
h=8
2. Find the area
A=1/2 x 12 x 8
A=48[tex]cm^{2}[/tex]
