To find hypotenuse multiply by sqrt of 2, which is equal; To find the legs length divide by sqrt 2.
45 degrees - 45 degrees - 90 degrees
13 sqrt2/ sqrt 2 = about 9.2 units
The diagonal of a square divides into two 45 degrees - 45 degrees - 90 degrees triangle.
y = 45; In a 45 degrees - 45 degrees - 90 degrees triangle, the legs (L) are congruent (L = L), and length of hypotenuse h is sqrt 2 times the length of a leg (h = l sqrt2). So, if hypotenuse is 13, then x sqrt 2 = 13.
Solving for X:
x sqrt 2/ sqrt 2 = 13/ sqrt 2
x = 13/ sqrt 2 * sqrt 2/sqrt 2
= 13 sqrt 2/2
Hence: x = 13 sqrt 2/2 about 9.2 units; y = 45
Your answer would be, Letter Choice (B) 13 sqrt2/2
Hope that helps!!!!
