Respuesta :

Answer:

  • A)  24 units

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Find the legs first:

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

Find the hypotenuse using Pythagorean:

  • [tex]\sqrt{8^2+6^2} =\sqrt{64+36} =\sqrt{100} =10\ units[/tex]

Find the perimeter:

  • P = 8 + 6 + 10 = 24 units

Correct choice is A.

Answer:

A)  24 units

Step-by-step 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:

[tex]\implies c^2=a^2+b^2[/tex]

[tex]\implies c^2=8^2+6^2[/tex]

[tex]\implies c^2=64+36[/tex]

[tex]\implies c^2=100[/tex]

[tex]\implies c=\sqrt{100}[/tex]

[tex]\implies c=10[/tex]

Therefore, the perimeter of the given triangle is:

[tex]\implies 8+6+10=24 \; \rm units[/tex]