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If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides then the triangle is an acute triangle?
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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.
Which are the measurements of the sides of a right triangle?
There's an infinite list of 3-number sets that can be the lengths of the sides of aright triangle. The only fact that's true of all of them is:(square of the length of the longest side) = (sum of the squares of the lengths of the other two sides.)
Is it possible to have a triangle with side lengths of 4-1-10?
No because the sum of the smaller lengths must be greater than the longest length
What is the theorem that states a right triangle the sum of the squares of the leg lengths is equal to the square of the hypotenuse length?
It is Pythagoras' theorem
Can you determine the type of a triangle by just knowing it's sides?
Yes. The three sides uniquely specify the triangle. If all three sides are equal it is equilateral. If only two are equal it is isosceles. If none are equal it is scalene. If the sum of the squares of the two shorter lengths is equal to the square of the longest length, it is a right angled triangle. If the sum of the squares on the two shorter sides is less than the square on the longest, it is an obtuse angled triangle. Otherwise it is an acute triangle.
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.
What is the length of a hypotenuse?
A hypotenuse is the longest side of a right angled triangle. The length of a hypotenuse can be found using the Pythagorean Theorem. This states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This means that to find the length of the hypotenuse, you need to know the lengths of the other two sides.
If the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides of what kind of triangle?
It would be an obtuse triangle with one angle being greater than 90 degrees.
Which are the measurements of the sides of a right triangle?
There's an infinite list of 3-number sets that can be the lengths of the sides of aright triangle. The only fact that's true of all of them is:(square of the length of the longest side) = (sum of the squares of the lengths of the other two sides.)
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 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
Is this statement true or falseIf the length of the longest side of a triangle is equal to the sum of the lengths of the other two sides, then the triangle is a right triangle?
false
Is it possible to have a triangle with side lengths of 4-1-10?
No because the sum of the smaller lengths must be greater than the longest length
What theorem states that 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?
the Pythagorean Theorem
This theorem states that 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.
What is the theorem that states a right triangle the sum of the squares of the leg lengths is equal to the square of the hypotenuse length?
It is Pythagoras' theorem
