Question

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?
you get brainlist if you show work with answer

Answer 1

Answer:

The correct answer is D. 12√2, 12√2, 24.

Step-by-step explanation:

Let's recall that a property of the right triangles 45 - 45 - 90 is that the lengths of the sides of this type of triangles are in the ratio 1 : 1: √2.

Thus,  if the hypotenuse is 24 units, the length of the legs is 12√2. We calculated it this way:

24/√2 = x/1

x√2 = 24

x = 24/√2

x = (24 * √2) / (√2 * √2) (For not having a square root in the denominator)

x = 24√2/2

x = 12√2 (Most simplified expression)

The correct answer is D. 12√2, 12√2, 24.