Question

Question 12(Multiple Choice Worth 5 points)

(Pythagorean Theorem MC)
Determine which set of side measurements could be used to form a right triangle.
O 16, 5, 25
O 9, 16, 12
O 9, 15, 12
O 8, 2, 10

Answer 1

• 9, 15, 12

Explanation:

Pythagoras theorem states that :

• In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides. Hypotenuse is the longest side.
• a² + b² = c²

here c is Hypotenuse (longest side)

a and b are the other two sides

1. 16, 5, 25

longest side (c) = 25

• a² + b² = c²
• 16² + 5² = 25²
• 281 = 625

2. 9, 16, 12

here longest side is 16.

• 9² + 12² = 16²
• 81 + 144 = 256
• 225 = 256

3. 9, 15, 12

here longest side is 15.

• 9² + 12² = 15²
• 81 + 144 = 225
• 225 = 225 (Required Answer)

Answer 2

• C) 9, 15, 12

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Use Pythagorean theorem for each triple:

• c² = a² + b², where c- largest side

A)

• 25² = 16² + 5²
• 625 = 281, False

B)

• 16² = 9² + 12²
• 256 = 225, False

C)

• 15² = 9² + 12²
• 225 = 225, TRUE

D)

• 10² = 8² + 2²
• 100 = 68, False