rdesmangles
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Which of the following choices lists the values of the side lengths of a triangle with 45-45-90 degree angles and a hypotenuse = 24?
√2, √2, 24
24√2, 24√2, 12
24, 24, 24√2
12√2, 12√2, 24

Respuesta :

MrRoyal

The sides of the triangle are (d) 12√2, 12√2, 24

How to determine the side lengths?

The given parameters are:

  • Hypotenuse = 24
  • Angle = 45-45-90 degree angles

In a 45-45-90 degree angle triangle, we have:

Hypotenuse = Opposite√2 and Hypotenuse = Adjacent√2

This means that:

Opposite =Adjacent

So, we have:

24 = Adjacent√2

Divide both sides by √2

Adjacent = 24/√2

Evaluate

Adjacent = 12√2

This means that:

Opposite = 12√2

Hence, the sides of the triangle are (d) 12√2, 12√2, 24

Read more about right triangles at:

https://brainly.com/question/2437195

#SPJ1

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