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You are told to draw two squares so that the sum of their areas is 50 square inches and the side length of each square is a whole number of inches There are two combinations of side lengths for the t?
Wiki User
∙ 14y ago
Since a^2 + b^2 = 50 and a, b are (nonnegative) integers, you know that neither a nor b can be more than 8 (since 7^2 = 49 is the biggest square that "fits" within the 50-area constraint.
That immediately should show you that a=7, b=1 works. 49 + 1 = 50.
The other one is equally easy: a=5, b=5. 25+25=50.
So (7,1) and (5,5) are the two combinations of side lengths.
Wiki User
∙ 14y ago
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If the lengths of the two sides of a right triangle on either side of the 90 degree angle are 150 inches and 200 inches what is the length of the remaining side the hypotenuse?
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Pythagoras.
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Yes, this is known as the Pythagorean theorem. It states that a2 + b2 = c2 where a and b are the lengths of the two sides on either side of the right angle and c is the length of the hypotenuse.
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The 4 sides of a square are of equal lengths
What is the length of the hypotenuse of a right triangle with legs of lengths 6 and 8in?
The length of the hypotenuse of a right triangle with legs of lengths 6 and 8 inches is: 10 inches.
What are the sides of a right angle triangle?
They are straight lines. The sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side. But subject to that constraint, the sides can have any lengths.They are straight lines. The sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side. But subject to that constraint, the sides can have any lengths.They are straight lines. The sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side. But subject to that constraint, the sides can have any lengths.They are straight lines. The sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side. But subject to that constraint, the sides can have any lengths.
If two squares have the same side lengths are the two squares necessarily congruent?
If two squares have the same side length for all sides, then they are congruent.
In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
Yes
In a right triangle the sum of the squares of the leg lengths is equal to the square of the hypotenuse length?
Correct.
What are the side lengths of a square with an area of 441 square inches?
length x length = area length = square root of 441= 21 inches
A square is 81 square inches what is the length of each side?
The lengths of each side is 9 inches.
What is known as In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
Pythagorean Theorem
How many squares with sides that are 6 inches long are needed to cover a square with a side length of 30 inches without overlaping?
how many squares with sides that are 6 inches long are needed to cover a squae with a side length of 30 inches without overlapping
How many squares with sides that are 6 inches long are needed to cover a square with a side length of 30 inches without overlapping?
How many squares with sides that are 6 inches long I needed to cover a square with a side length of 30 inches without overlapping
What is the length of the hypotenuse of a right triangle if the lengths of the legs are 24 inches and 7 inches?
The Pythagorean theorem states that the length of the hypotenuse of a right triangle is the square root of the sum of the squares of the other two sides.[(24 in)^2 + (7 in)^2]^(1/2) = 25 in
