Question

I understand sum I just need more help

Answer 1

Answer:

Step-by-step explanation:

The Pythagorean theorem is expressed as

Hypotenuse² = opposite side² + adjacent side²

If the distances of the routes given are Pythagorean triples, then they obey the Pythagorean theorem hence, they would form a right angle triangle.

1) for the bus routes between stop A, B and C,

13² = 12² + 5²

169 = 144 + 25 = 169

A Pythagorean triple is formed hence, stop A, B and C form a right angle triangle.

2) for the bus routes between stop C, E and E,

22² = 14² + 18²

484 = 196 + 324 = 520

A Pythagorean triple is not formed hence, stop C, E and E do not form a right angle triangle.

3) 25² = 9² + HJ²

625 = 81 + HJ²

HJ² = 625 - 81 = 544

HJ = √544 = 23.32

4) EG² = 15² + 8²

EG² = 225 + 64

EG² = 289

EG = √289 = 17