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A triangle with sides of lengths 12 15 and 20 is a right triangle?
False. It can't be.In a right triangle, the sum of the squares of the two short sides is equal to the squareof the longest side.122 = 144152 = 225-------------sum = 369202 = 400, not 369.So these are not the sides of a right triangle.
In a right triangle the sum of the squares of the leg lengths is equal to the square of the hypotenuse length?
Correct.
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 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
Find the lengths of the side of the right triangle if the longest side of the triangle is four more than the shortest side and the middle side is two more than the shortest side?
There is no such right triangle. You have defined the relationship between three sides of a triangle that does not have a 90 degree angle. In a right triangle the sum of the squares of the shorter sides equals the square of the longest side and 12 + 22 = 5 ; 42 = 16 it does not equal 5 The angles in a triangle with sides 1, 2, 4 units can be found by applying the cosine rule.
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.)
In a right triangle the sum of the squares of the leg lengths is equal of the lengths is equal to the square of the hypotenuse?
Yes
True or false A triangle with sides of lengths 10 24 and 27 is a right triangle?
false In order for this to be a right triangle, the sum of the squares of the two shorter sides would have to equal the square of the longest side. 102=100 242= 576 272=729 102+242= 676, which does not equal 272=729, so a triangle with these lengths is not a right triangle.
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 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.
A triangle with sides of lengths 12 15 and 20 is a right triangle?
False. It can't be.In a right triangle, the sum of the squares of the two short sides is equal to the squareof the longest side.122 = 144152 = 225-------------sum = 369202 = 400, not 369.So these are not the sides of a right triangle.
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.
Does a triangle with the side lengths 9 24 21 make right triangle?
A triangle is right triangle if square of the longest side is equal to sum of squares of other two sides. Square of 24 = 576 Sum of square of 9 and 21 = 92 + 212 = 81 + 441 = 522 576 ≠522. It is clear that triangle is not a right triangle.
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
What 3 measurements make a right triangle?
There are many sets of side lengths that will make a right triangle. Try 3-4-5 or any multiple of those like 6-8-10. Another common one is 5-12-13 or a multiple thereof. The way to check to see if any three side lengths make a right triangle is to use the converse of the Pythagorean Theorem. If the longest side is c, calculate the value of c2 and see if it is less than, greater than or equal to a2 + b2, the sum of the squares of the other two sides. If the quantities are equal, the triangle would be a right triangle. If c2 is less than a2 + b2 the triangle would be acute. If c2 is greater than a2 + b2 the triangle would be obtuse.
