Question

5. Tony measured a TV that is approximately 14 inches tall by 24 inches wide. Since the size of TVs are named by the measure of the diagonal, what is the BEST diagonal measure, in inches, for this TV?

A. 772 inches
B. 28 inches
C. 76 inches
D. 9 inches

Answer 1

Using this formula, we can calculate the diagonal measure of the TV as follows: (this is the Phytagoras theorem)

diagonal^2 = height^2 + width^2

diagonal^2 = 14^2 + 24^2

diagonal^2 = 196 + 576

diagonal^2 = 772

diagonal ≈ 27.8 inches

Therefore, this TV's best diagonal measure, in inches, is option B, 28 inches (rounded to the nearest inch).

Answer 2

Use the pythagorean theorem.

a^2 + b^2 = c^2

Plugging the values into that…

14^2 + 24^2 = 772

sqrt772=27.78… which means B is the correct answer.