Question

Jerry is buying a new large screen television for his game room.He knows that the diagonal of the television measures 42.1 inches and the base is 34.3 inches.What is the area of the television (round to the nearest tenth)

Answer 1

Answer:

Step-by-step explanation:

The large screen television is rectangular in shape. The diagonal divides the rectangle into two equal right angle triangles. The diagonal represents the hypotenuse of the right angle triangle.

He knows that the diagonal of the television measures 42.1 inches and the base is 34.3 inches. To determine the height,h of the triangle which is also the width of the rectangle, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

42.1² = 34.3² + h²

h² = 1772.41 - 1176.49 = 595.92

h = √595.92 = 24.41 inches.

Area of rectangle = Length × width

Area of Television = 34.3 × 24.41 = 837.3 inches²