SOLUTION: A rectangle is 7 cm wide and 10 cm long. Find the length diagonal of the rectangle
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Question 130100: A rectangle is 7 cm wide and 10 cm long. Find the length diagonal of the rectangle
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If we cut the rectangle in two equal halves along the diagonal, we basically have this triangle set up:
Since we can see that the triangle has legs of 7 and 10 with a hypotenuse of x, we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem:
where a and b are the legs of the triangle and c is the hypotenuse
Plug in a=7, b=10, and c=x. Now lets solve for x
Square each individual term
Combine like terms
Take the square root of both sides
Which approximates to...
So our answer is
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