PLEASE HELP T-T
lewis went for a long jog one evening. the straight line distance from his house to his ending point was 13 miles. which of the following routes could have led him to his ending point?

A.) He jogged 3 miles west and 10 miles north

B.) He jogged 2 miles west and 11 miles north

C.) He jogged 6 miles west and 9 miles north

D.) He jogged 5 miles west and 12 miles north

Respuesta :

Answer:

D.) He jogged 5 miles west and 12 miles north

Step-by-step explanation:

if you think of this as a right angled triangle, you are trying to work out the hypotenuse (longest side)

the formula is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

so, [tex]5^{2}[/tex] + [tex]12^{2}[/tex] = 169

169 = the [tex]hypotenuse^{2}[/tex]

[tex]\sqrt{169}[/tex] = 13 miles

correct answer would be D