Question

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

A. 18 units
B. 20 units
C. 24 units
D. 28 units

Answer 1

C

Explanation:

From the given coordinates

A(6, 0), B(0, 0) then AB = 6 - 0 = 6

B(0, 0), C(0, 8) then BC = 8 - 0 = 8

To calculate AC use Pythagoras' theorem on the right triangle formed

AC² = AB² + BC² = 6² + 8² = 36 + 64 = 100

Take the square root of both sides, hence

AC =
`√(100)` = 10

Perimeter = AB + BC + AC = 6 + 8 + 10 = 24 → C