Do these side lengths make a right triangle?
5 min read
Asked by: Rich Beltran
What side lengths forms a right triangle?
Which side lengths form a right triangle? Side lengths a , b , c form a right triangle if, and only if, they satisfy a² + b² = c² . We say these numbers form a Pythagorean triple.
Does 3 4 5 make right triangles?
The 3-4-5 right triangle is a Pythagorean Triple, or a right triangle where all the sides are integers. In this particular triangle, the lengths of the shorter sides are 3 and 4, and the length of the hypotenuse, or longest side, is 5.
Does 4 5 6 make right triangles?
Explanation: For a set of three numbers to be pythagorean, the square of the largest number should be equal to sum of the squares of other two. Hence 4 , 5 and 6 are not pythagorean triple.
Does 9 12 15 make a right triangle?
Which set of sides could make a right triangle? Explanation: By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.
Does 8 15 and 17 make a right triangle?
Yes, 8, 15, 17 is a Pythagorean Triple and sides of a right triangle.
Does 5 12 and 13 make a right triangle?
Yes, 5 12 and 13 make a right triangle. They are referred to as Pythagorean triplets, where 5 squared and 12 squared equal 13 squared, which is the application of the Pythagorean theorem.
Does 6 9 12 make triangles?
Explanation: In general, a triangle will exist only when the sum of two sides is greater than the longest side. The longest side of given triangle 15 is equal to the sum of other two sides 6 & 9 thus triangle will be a straight line or triangle does not exist.
Does 12 16 and 20 make a right triangle?
It is called right triangle. It can be either be Scalene or Isosceles. 1) 12,16,20 : 202=162+122 : True, hence right triangle.
Does 6 8 and 10 make a right triangle?
When the side lengths of a triangle are in the ratio 3: 4: 5, then it is a right triangle. These sides are 6: 8: 10, then the triangle is a right one.
Does 10 24 26 Make a right triangle?
Summary: A triangle has sides of lengths 10, 24, and 26 is a right triangle.
Does 20 21 and 29 make a right triangle?
We can conclude that the triangle is a right triangle because both sides of the equation are equal. You may also want to note that (20, 21, 29) is one of the common Pythagorean triples mentioned in Table above.
Does 7 24 25 make a right triangle?
Yes, 7, 24, 25 is a Pythagorean Triple and sides of a right triangle.
Does 16 30 34 Make a right triangle?
where c is the hypotenuse and a and b are the two shorter sides. And as we can see, the two sides do not equal each other, so this means the sides do not make a right triangle.
Does 12 35 37 Make a right triangle?
Yes,The triangle is a right angled triangle. Step-by-step explanation: The sides of the triangle are 12,35 and 37. Let The greatest side of thr traingle be hypotenuse i.e 37.
Does 30 40 45 Make a right triangle?
Pythagoras’s Theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. Actually a 30 , 40 , 50 triangle is just a scaled up 3 , 4 , 5 triangle, which is a well known right angled triangle.
Does 15 36 39 Make a right triangle?
Thus, triangle ABC is indeed a right triangle. Pythagorean Triple: 3 whole numbers that satisfy the Pythagorean Theorem, where the greatest number is the length of the hypotenuse. Example 3: Determine if the following set is a Pythagorean Triple. Hence, the set {15, 36, 39} is a Pythagorean Triple.
Does 4 8 and 12 form a right triangle?
The sum of 4 and 8 is 12 and 12 is less than 15 . This set of side lengths does not satisfy Triangle Inequality Theorem. These lengths do not form a triangle.
Does 5 10 12 make a right triangle?
Yes, a right triangle can have side lengths 5, 12, and 13. To determine if sides of length 5, 12, and 13 units can make up the sides of a right…
Does 21/28 35 Make a right triangle?
Yes, the Pythagorean Theorem is satisfied by these lengths and a right triangle is formed by the lengths 21, 28 and 35.
Does 22 28 35 Make a right triangle?
Yes, it can be a right triangle.
What kind of triangle is 5/12 13?
right triangle
A Pythagorean triple is simply a set of three integers that are solutions for the Pythagorean theorem. The best known triple is 3-4-5, with 5-12-13 being the next most recognized. Any triangle composed of sides of lengths that match the Pythagorean triple will be a right triangle.
Are 8 15 and 17 a Pythagorean triple?
In addition, one side of every Pythagorean triple is divisible by 3, another by 4, and another by 5. One side may have two of these divisors, as in (8, 15, 17), (7, 24, 25), and (20, 21, 29), or even all three, as in (11, 60, 61).
Does 9/16 and 25 make a right triangle?
This looks like a trick question because a triangle with sides 3, 4 and 5 is widely recognized as a right triangle. If you look at the given side lengths 9, 16 and 25, you see that this is 32, 42 and 52, which could be easily confused. 9 + 16 = 25, so 3, 4 and 5 do constitute a Pythagorean triple.
What is Pythagoras trick?
A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k.
