3. Using the Pythagorean theorem, x = 53 in.
4. 6, 9, and 11 does not form a right triangle because they are not a Pythagorean triple. i.e. 11² ≠ 9² + 6².
5. Using the distance formula, AB = 16.1 units
7. Height of the Pyramid using the Pythagorean theorem is: h = 5.2 units.
8. Length of diagonal = 10.2 units.
What is the Pythagorean Theorem?
If c is the hypotenuse of a right triangle with a and b as its legs, the Pythagorean theorem states that c² = a² + b².
What is the Diagonal of a Rectangular Prism?
Diagonal (d) = √(l² + h² + w²)
l = length
w = width
h = height
3. Find x using the Pythagorean theorem:
x = √(45² + 28²)
x = 53 in.
4. 6, 9, and 11 does not form a right triangle because they are not a Pythagorean triple. i.e. 11² ≠ 9² + 6².
5. Using the distance formula, find AB:
AB = √(5−(−3))² + (6−(−8))²
AB = √260
AB = 16.1 units
7. Height of the Pyramid using the Pythagorean theorem:
h = √(6² - 3²)
h = 5.2 units.
8. Diagonal of the Rectangular Prism:
Length of diagonal = √(l² + h² + w²) = √(8² + 5² + 4²)
Length of diagonal = 10.2 units.
Learn more about Pythagorean Theorem on:
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