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
