Question

A right triangle has coordinates A(6, 0), B(0, 0), and C(0, 8). What is the perimeter of the triangle?

Answer 1

Area of the triangle `= 24" "`square units

Explanation:

By inspection the `90^@` angle is at (0, 0) then one side to the right along x-axis `=6" "`units. Another side from the origin (0,0) going up `=8" "`units.
Therefore, altitude `=8`
and base `=6`

`Area=1/2bh`
`Area=1/2*6*8`
`Area=24`

God bless....I hope the explanation is useful.

Answer 2

The Perimeter `P=24" "`units

Explanation:

The hypotenuse `c` of the right triangle is
`c=sqrt(6^2+8^2)=sqrt(36+64)=sqrt(100)=10" "`

Perimeter `P=a+b+c=6+8+10=24 " "`units

God bless...I hope the explanation is useful.