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3 years ago

I WILL GIVE BRAINLIEST!!! PLZ HELP ASAP!!!!!!

Mathematics

1 answer:

9966 [12]3 years ago

8 0

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

#LearnwithBrainly

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