Question

For a standard television set, the horizontal length to the height is in the ratio 4 : 3. Find the length of 35 inches television. [The TV measurement indicates its diagonal length].

Answer 1

Given,

For a standard television set, the horizontal length to the height is in the ratio 4 : 3. Find the length of 35 inches television.

Pythagoras theorem states that in a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the remaining two sides.

⇒ (Hypotenuse)² = (base)² + (height)²

⇒ (35)² = (4x)² + (3x)²

⇒ 1225 = 16x² + 9x²

⇒ 1225 = 25x²

⇒ 49 = x²

⇒ 7 inches = x

The length of the TV = 7 × 4 = 28 inches.

Hence, this is required.