Question

Answer all the questions, just the answers, it's pythagorean theorem, plssss helpppp

Answer 1

Answer:

1. option c

2. option b

3. option b

Step-by-step explanation:

1 . option C

Square of longer side = sum of squares of other side

a)

5, 6 , 11

$121 = 25 + 36\\does\ not \ satisfy$

b)

9, 12, 16

$256 = 144 + 81\\Does\ not \ satisfy$

c)

7, 24, 25

$625 = 576 + 49\\Does\ satisfy$

d)

12, 20, 25

$625 = 400 + 144\\does \ not \ satisfy$

2. Option B

Square of longer side = sum of squares of other side

15 ² = 8 ² + r²

225 = 64 + r²

161 = r²

r = 12.688

r = 13ft

3 . Option b

To find length  of AB,  Use distance formula

$AB = \sqrt{(x_2- x_1)^2 + (y_2 - y_1)^2}$

    $= \sqrt{(14-3)^2 + (6-1)^2}\\\\=\sqrt{11^2 + 5^2}\\\\=\sqrt{121 + 25}\\\\= \sqrt{146} \\= 12 \ ft$