Question

Determine the perimeter of the right triangle shown.

1) 6 units
2) 15 units
3) 21 units
4) 36 units

Answer 1

The perimeter of the right triangle is 12 units.

Step-by-step explanation:

To determine the perimeter of a right triangle, we need to add up the lengths of all three sides. In this case, let's call the two legs of the triangle A and B, and the hypotenuse C. The perimeter of the triangle is given by the equation P = A + B + C.

From the given information, we can see that the lengths of the two legs are 3 units and 4 units. Using the Pythagorean theorem, we can find the length of the hypotenuse as follows:

C = sqrt(A^2 + B^2) = sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5 units.

Now, we can substitute the values of A, B, and C into the perimeter equation:

P = 3 units + 4 units + 5 units = 12 units.

Therefore, the perimeter of the right triangle shown is 12 units. So, the correct answer is 4) 12 units.