132k views
5 votes
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

User Preli
by
8.9k points

2 Answers

2 votes

Answer:

  • 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)
User Abhijit Jagtap
by
7.7k points
4 votes

Answer:

  • C) 9, 15, 12

-------------------------

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
User Philipp Ryabchun
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.