The diagonal of a TV is 26 inches long. Assuming that this diagonal forms a pair of 30-60-90 right triangles, what are the exact length and width of the TV? A. 13 inches by 13√3 B. 13√2 inches by 13√2 inches C. 52√2 inches by 52√2 inches D. 52 inches by 52√3 inches
2 answers:
A. Special right triangles 26 = hyp = 2x x = 13 The other 2 sides are x and x • square root of 3
Let
x-------> the length side of the TV
y-------> the width of the TV
d------> the diagonal of a TV
we know that
in a 30-60-90 right triangle
---->
---->
substitute the values
the length side of the TV is
the width of the TV is
therefore
<u>the answer is the option A</u>
13 inches by 13√3 inches
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