Respuesta :

pmayl
A 45-45 90 triangle has two lengths that are equal, and the hypotenuse is √2 times those lengths. 

Therefore: 
Let x = the length of a leg (doesn't matter which one, they are equal)
√2 * x = 24        Divide both sides by √2
x = 24 / √2        
To get the radical out of the denominator, multiply the right side by √2/√2
x = 24√2 / 2
x = 12√2      Answer is B
Edufirst
1) Use sine ratio

sin (45°) = adjacent leg / hypotenuse

=> adjacent leg = hypotenuse * sin(45°)

adjacent leg = 24 * (√2/2) = 12√2

Given that the triangle is isosceles the two legs have the same length.

Answer: 12√2

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