Question

Please help with this

Answer 1

1. 120
`m^(2)`

2. 192
`ft^(2)`

3. 48
`cm^(2)`

Explanation:

First triangle:

1. Find out the height

`h^(2) +8^(2) =17^(2)`

`h^2+64=289`

-64 -64

`h^2=225`

h=15

2. Find the area

A=1/2 x 16 x 15

A=120
`m^(2)`

Second triangle:

1. Find out the height

`h^2+16^(2) =20^(2)`

`h^2+256=400`

-256 -256

`h^(2) =144`

h=12

2. Find the area

A=1/2 x 32 x 12

A=192
`ft^(2)`

Third triangle:

1. Find out the height

`h^2+6^2=10^(2)`

`h^2+36=100\\`

-36 -36

`h^2=64`

h=8

2. Find the area

A=1/2 x 12 x 8

A=48
`cm^(2)`