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:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,