The friend is wrong - According to the Pythagorean Theorm, if c is the hypotenuse and a and b are opposite sides then c^{2} = a^{2} + b^{2}
if c=65 inches, a=16 inches and b = 63 inches, then
65^{2} =16 ^{2} + 63^{2}
right hand side of the equation = 256 + 3969 = 4225
left hand side of the equation = 65^{2}= 4225
So we see, left hand side = right hand side
Hence the theorm is proved.
Answer:
a = 3
Step-by-step explanation:
The point (- 5, 7a ) satisfies the equation
Substitute the coordinate points into the equation and solve for a
7a = 7(- 5) + 56 = - 35 + 56 = 21 ( divide both sides by 7 )
a = 3
Perimeter is just the addition of the side lengths so add them together:
5c+6 + 2c+5 = 7c+11
Option D.
