Respuesta :

Answer:

Step-by-step explanation:

Apply the Pythagorean Theorem:

85^2 = 67^2 + h^2, where h is the height of the TV

Then 7225 = 4489 + h^2, or

h^2 = 2736, or h = +√2736 = 52.3 inches

The TV is 52.30 inches tall if the television is advertised as an 85-inch TV if the width of the TV is 67.

What is a right-angle triangle?

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

We have:

A certain television is advertised as a 85 inch TV

It means the diagonal length is 85 inches.

Width of the TV = 67 inches

Let's suppose the TV is x inches Tall

So from the Pythagoras theorem:

[tex]\rm 85^2 = x^2+67^2[/tex]

7225 = x² + 4489

x = 52.30 inches

Thus, the TV is 52.30 inches tall if the television is advertised as an 85-inch TV if the width of the TV is 67.

Learn more about the right angle triangle here:

brainly.com/question/3770177

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