191k views
5 votes
30 POINTS ANSWER ASAP!!!!

Determine the perimeter of the right triangle shown.

right triangle with vertices at negative 4 comma 4, 4 comma 4, and 4 comma negative 2

10 units
24 units
36 units
64 units

User Nikli
by
7.5k points

1 Answer

4 votes

Answer: 24 units.

Step-by-step explanation: To find the perimeter of the right triangle, you need to add up the lengths of all three sides of the triangle.

The right triangle shown has a vertex at (-4, 4), another vertex at (4, 4), and a third vertex at (4, -2). The length of the side between the first two vertices can be calculated using the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((4 - (-4))^2 + (4 - 4)^2)

= sqrt(8^2 + 0)

= sqrt(64)

= 8

The length of the side between the second and third vertices can be calculated using the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((4 - 4)^2 + (-2 - 4)^2)

= sqrt(0 + (-6)^2)

= sqrt(36)

= 6

The length of the hypotenuse of the right triangle can be calculated using the Pythagorean theorem:

c^2 = a^2 + b^2

c = sqrt(a^2 + b^2)

= sqrt(8^2 + 6^2)

= sqrt(64 + 36)

= sqrt(100)

= 10

To find the perimeter of the triangle, add up the lengths of all three sides: 8 + 6 + 10 = 24 units.

Therefore, the perimeter of the right triangle is 24 units.

User Vallabh Patade
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.