A television is shown below with its width and height given in inches. 46.9 cm (18.5") SONY 73.9 cm (29") Describe how you would find the diagonal length of the television.

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asked Dec 23, 2023 234k views

2 votes

A television is shown below with its width and height given in inches. 46.9 cm (18.5") SONY 73.9 cm (29") Describe how you would find the diagonal length of the television.

Mathematics
college

Pradit asked

by Pradit

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1 Answer

7 votes

The television is a rectangle

Diagonal is the longest side

Hypotanuse = x

Opposite = 73.9

Adjacent = 46.9

$\begin{gathered} \text{Apply Pathagorus theorem} \\ \text{Opposite}^2+Adjacent^2=Hypotanuse^2 \\ 73.9^2+46.9^2=x^2 \\ 5461.21+2199.61=x^2 \\ x^2\text{ = 7660.82} \\ x\text{ = }\sqrt[\square]{7660.82} \\ x\text{ = }87.5\operatorname{cm} \end{gathered}$