Question

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Savannah recently bought a 65 inch flat screen television. Television dimensions refer to the diagonal size of the screen. Savannah knows that the television is 56.7 inches wide. The height of the television is approximately inches.

Answer 1

. The height of the television is approximately 32 inches or 2 1/3 feet

Explanation:

Use Pythagoras' Theorem that says that in a right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

a²+b² = c²

diagonal =c = 65

56.7 could be a or b so

56.7²+b² = 65²

3124.89+ b² = 4225

b² = 4225 - 3124.89

b² = 1010.11 take a √ to find b

b = 31.78

round to 32 inches

1 foot =12 inches

32/12 = 8/3 = 2 1/3

Answer 2

Approximately 32 in

Explanation:

This is a Pythagorean Theorem problem: we have the hypotenuse (diagonal size) and the leg (width). Now solve for the height.

a^2 + b^2 = c^2

56.7^2 + b^2 = 65^2

b^2 = 1010.11

b = 31.78 in ≈ 32 in