Question

A certain television is advertised as a 41-inch TV (the diagonal length). If the width of the TV is 40 inches, how many inches tall is the TV?

Answer 1

Answer:

9 inches tall

Step-by-step explanation:

Use the Pythagorean theorem: you know the hypotenuse (41) and the leg (40)

$a^{2} +40^{2} =41^{2}$

Solve for a:

Simplify exponents

$a^2+1600=1681$

Subtract 1600 from both sides

$a^2+1600-1600=1681-1600\\a^2=81$

Find the square root

$\sqrt{a^2}=\sqrt{81\\} \\a=9$

Answer 2

Answer:

9 inches

Step-by-step explanation:

A^2+b^2=c^2 so

40^2+b^2=41^2

1600+b^2=1681

so b^2=81

so b=9