if a tv has a diagonal measurement of 55 and a height of 30, what is the tvs width? round to the nearest whole number

Mathematics

1 answer:

Sati [7]2 years ago

7 0

Answer:

Step-by-step explanation:

The geometry can be modeled by a right triangle. The diagonal measure is the hypotenuse, and the height is one leg. The width is the other leg, and can be found using the Pythagorean theorem.

<h3>Pythagorean theorem</h3>

The relation between the leg lengths (a, b) and the hypotenuse (c) is ...

c² = a² +b²

Solving for b gives ...

b = √(c² -a²)

<h3>application</h3>

In this problem, we have c=55 and a=30. Then the width of the TV is ...

b = √(55² -30²) = √(3025 -900) = √2125

b ≈ 46.098

The width of the TV is about 46.

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