i need all the questions and where is says to explain I need you to explain, it's pythagorean theorem, pls help me

Step-by-step explanation:

sams house=6 miles east and 9 mies south

let the distance towards east be a and distance towards south be b

so we have to find straight line distance from sams house to amys house .let it be c(or hypotenuse)

according to the pythagors theorem

a^2 + b^2 =c^2

6^2 + 9^2 =c^2

36 + 91 =c^2

117 =c^2

=c

10.8=c

the two coordinate points are

(4,12)=(x1 , y1)

(6,2)=(x2 , y2)

distance formula =

=

=

=

=

=2

=10.1 units

fairy travels=10.1 * 2

=20.2 miles

three sides are 17,8,15

according to the pythagoras theorem

to be right angles triangle square of hypotenuse(longest side) must equal to the sum of square of two other smaller sides

so here 17 is longest and 8 and 15 are two other smaller sides of a triangle

17^2=8^2 + 15^2

289=64 + 225

289=289

since both sides are equal it can be concluded that they form a right angled triangle.

Hope this helps u!!