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
[tex]121 = 25 + 36\\does\ not \ satisfy[/tex]
b)
9, 12, 16
[tex]256 = 144 + 81\\Does\ not \ satisfy[/tex]
c)
7, 24, 25
[tex]625 = 576 + 49\\Does\ satisfy[/tex]
d)
12, 20, 25
[tex]625 = 400 + 144\\does \ not \ satisfy[/tex]
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
[tex]AB = \sqrt{(x_2- x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]= \sqrt{(14-3)^2 + (6-1)^2}\\\\=\sqrt{11^2 + 5^2}\\\\=\sqrt{121 + 25}\\\\= \sqrt{146} \\= 12 \ ft[/tex]
