Question

A certain television is advertised as a 37 inch tv (the dialonal length). If the width of the tc is 12 inches, how many inches tall is the tv?

Answer 1

The measures given form 2 triangles.

Each triangle has a hypotenuse of 37 inch and a side length of 12 inches ( right triangle)

So, we have to find the measure of the missing side of the right triangle_

Apply Pythagorean theorem:

c^2= a^2+b^2

Where c is the hypotenuse (37) and a and b are the other legs of the triangle:

37^2 = a^2+12^2

Solve for a

1,369= a^2+144

1,369-144 = a^2

1,225 = a^2

√1225 = a

35=a

The TV is 35 inches tall.