Question

A(6, 0), B(0, 8), O(0, 0).

Perimeter of the triangle is ______.

Options

• 14 units

• 19 units

• 20 units

• 24 units

Answer 1

Perimeter of the triangle is 24 units.

Explanation:

Step 1: Use the distance formula to find all side lengths.

AO = `sqrt((6 − 0)^2 + (0 − 0)^2)`

= `sqrt36`

= 6

BO = `sqrt((0 − 0)^2 + (8 − 0)^2)`

= `sqrt64`

= 8

AB = `sqrt((6 − 0)^2 + (0 − 8)^2)`

= `sqrt(36 + 64)`

= `sqrt100`

= 10

Step 2: 

Perimeter = AO + BO + AB

= 6 + 8 + 10

= 24 units