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schepotkina [342]
3 years ago
12

In a standard television set, the screen height is 0.75 times the screen width. If a television set measures 34 inches along the

diagonal, what is the screen width?
Mathematics
1 answer:
S_A_V [24]3 years ago
3 0
We can solve this by using the  P<span>ythagorean theorem which is below:

a^2 + b^2 = c^2

Or we can say
</span>w^2 + h^2 = d^2
<span>w = widht
h = height
d = diagonal measure


With that said, we know the height is .75 times the width so .75w. We also know d = 34, which is our diagonal measure.
w = don't know yet but need to find
h = .75w
d = 34
Now lets plugin the information we know into our equation

</span>w^2 + h^2 = d^2
w^2 + (.75w)^2 = 34^2
Now lets to the math
w^2 + (.75w)^2 = 34^2
w^2 + (.75w)^2 = 1156
w^2 + .5625w^2 = 1156
Combine like terms
w^2 + .5625w^2 = 1156
1.5625w^2 = 1156
Divide both sides of the equal sign by 1.5625
\frac{1.5625w^2}{1.5625} = \frac{1156}{1.5625}
w^2 = 739.84
Now take the square root on both sides of the equal sign
\sqrt{w^2} = \sqrt{739.84}
w = 27.2

So the width is 27.2
We can check this by putting 27.2 back into our original equation
w^2 + (.75w)^2 = 34^2
27.2^2 + (.75\times 27.2)^2 = 34^2



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