Answer:
Diagonal of television = 83 cm
Step-by-step explanation:
Width of television = 4x
height of television = 3x
Height of television = 49.8 cm
[tex] \therefore \: 3x = 49.8 \\ x = \frac{49.8}{3} \\ x = 16.6 \: cm \\ 4x = 4 \times 16.6 = 66.4 \: cm \\ \\ diagonal \: of \: television \\ = \sqrt{ {(66.4)}^{2} + (49.8)^{2} } \\ = \sqrt{ 4,408.96 + 2,480.04 } \\ = \sqrt{6,889} \\ = 83 \: cm \\ [/tex]
