Which of these is pythagorean triple? a) 11,60,61 b) 6,8,15 c) 5,11,12 d) 9,24,25 which number completes the pythagorean triple of 14,48,x? a) 12 b) 12.5 c) 25 d) 50

If a, b and c are a Pythagorean triple, then:

for a ≤ b < c.

We have:

A) 11, 60, 61

check:

CORRECT

B) 6, 8, 15

These are not the sides of the triangle because 6 + 8 = 14 < 15

C) 5, 11, 12

check

INCORRECT

D) 9, 24, 25

INCORRECT

2)

If a, b, c are the sides of the triangle, then:

a + b > c and a + c > b and b + c > a.

We have 14, 48, x. Therefore:

x < 14 + 48

x < 62

and

x + 14 > 48

x > 34

therefore 34 < x < 62

If 34 < x < 48, then:

     subtract 196 from both sides

If 48 < x < 62, then:

312312

step-by-step explanation:

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: