Answer:
C
Step-by-step explanation:
Pythagorean theorem states that a^2 + b^2 = c^2. Let the length of the legs be x, so 2x^2 = c^2. c is the hypotenuse, which means that 2x^2 = 64. Divide both sides by 2, and we get x^2 = 32. Square root both sides and we get sqrt 32 or 4 * sqrt 2.
Answer:
1.17
Step-by-step explanation:
(MUCH BETTER!)
From the definition of the sin of an angle, you know:
sin(45°) = AC/AB = 4/AB ⇒ AB = 4/sin(45°) ≈ 5.6569
sin(63°) = AC/AD = 4/AD ⇒ AD = 4/sin(63°) ≈ 4.4893
Then the difference AB-AD is:
AB -AD = 5.6569 -4.4893 = 1.1676
AB -AD ≈ 1.17 units
Sorry this took me so long to answer!
ON = MN =x
ON² + MN² = OM²
x² + x² = 8²
2x² = 64
x² = 32
x = √32 = 4√2
