The set 18 , 24 , 30 represents a Pythagorean triple ⇒ answer B
Step-by-step explanation:
Let us explain how to check the set represents a Pythagorean triple
1. Square the largest number
2. Find the sum of the squares of the other 2 numbers
3. Check if the square of the largest number equal the sum of the
squares of the other 2 numbers or not, if they are equal then the
set represents a Pythagorean triple
A. In set 60 , 70 , 100
∵ The longest side is 100 cm
∴ (100)² = 10,000
∵ (60)² + (70)² = 8,500
∵ (100)² ≠ (60)² + (70)²
∴ The set doesn't represent a Pythagorean triple
B. In set 18 , 24 , 30
∵ The longest side is 26 cm
∴ (30)² = 900
∵ (18)² + (24)² = 324 + 576 = 900
∵ (30)² = (18)² + (24)²
∴ The set represents a Pythagorean triple
C. In set 10 , 14 , 17
∵ The longest side is 17 cm
∴ (17)² = 289
∵ (10)² + (14)² = 100 + 196 = 296
∵ (17)² ≠ (10)² + (14)²
∴ The set doesn't represent a Pythagorean triple
D. In set 10 , 20 , 30
∵ The longest side is 30 cm
∴ (30)² = 900
∵ (10)² + (20)² = 100 + 400 = 500
∵ (30)² ≠ (10)² + (20)²
∴ The set doesn't represent a Pythagorean triple
The set 18 , 24 , 30 represents a Pythagorean triple
Learn more:
You can learn more about Pythagoras Theorem in brainly.com/question/1238144
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