3 years ago

A certain television is advertised as a 53-inch TV (the diagonal length). If the width of

Mathematics

1 answer:

zhenek [66]3 years ago

6 0

The TV is 45 inches tall.

Step-by-step explanation:

The diagonal length of television = 53 inches

Width of TV = 28 inches

As TV is in rectangular or square shape, a diagonal will form a right triangle

Where,

Diagonal = hypotenuse = c = 53 inches

Width = base = b = 28 inches

Length = perpendicular = a

we will use pythagorean theorem to find the length.

$a^2+b^2=c^2\\a^2+(28)^2=(53)^2\\a^2+784=2809\\a^2=2809-784\\a^2=2025$

Taking square root on both sides

$\sqrt{a^2}=\sqrt{2025}\\a=45$

The TV is 45 inches tall.

Keywords: triangle, square root

Learn more about square root at:

#LearnwithBrainly

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