Question

Determine the perimeter of the right triangle shown.

24 units
10 units
8 units
6 units

Answer 1

A) 24 units

Explanation:

The perimeter of a triangle is the sum of its side lengths.

From inspection of the given right triangle:

• Base = 8 units
• Height = 6 units

As the given triangle is a right triangle, we can use Pythagoras Theorem to calculate the length of the hypotenuse:

`\implies c^2=a^2+b^2`

`\implies c^2=8^2+6^2`

`\implies c^2=64+36`

`\implies c^2=100`

`\implies c=√(100)`

`\implies c=10`

Therefore, the perimeter of the given triangle is:

`\implies 8+6+10=24 \; \rm units`

Answer 2

• A) 24 units

----------------------------------

Find the legs first:

• 5 - (-3) = 8 units,
• 4 - (-2) = 6 units.

Find the hypotenuse using Pythagorean:

• 
  `√(8^2+6^2) =√(64+36) =√(100) =10\ units`

Find the perimeter:

• P = 8 + 6 + 10 = 24 units

Correct choice is A.