Does 5 12 13 make a right triangle?
Asked by: Prof. Fanny West | Last update: May 10, 2026Score: 4.7/5 (49 votes)
Yes, the side lengths 5, 12, and 13 make a right triangle because they satisfy the Pythagorean theorem [1].
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 5 cm, 12 cm, 13 cm form a right triangle?
Yes, a triangle with sides 5cm, 12cm, and 13cm is a right triangle because it satisfies the Pythagorean theorem: 52+122=1325 squared plus 12 squared equals 13 squared52+122=132 (25+144=16925 plus 144 equals 16925+144=169), confirming the sides form a right angle, with 13cm as the hypotenuse.
What type of triangle has sides of lengths 5 12 and 13?
Yes, 5, 12, and 13 are a Pythagorean triple, so they form a right triangle.
Are 5, 12, and 13 a Pythagorean triple?
Fibonacci numbers in Pythagorean triples
(3,4,5), (5,12,13), (16,30,34), (39,80,89), ... The middle side of each of these triangles is the sum of the three sides of the preceding triangle.
Pythagoras 5-12-13 Triangle. GCSE 9-1 Maths Edexcel June 2017 Paper 1H Q5
Is 12 5 13 a Pythagorean triplet?
Hence, the given set of integers satisfies the Pythagoras theorem, (5, 12, 13) is a Pythagorean triples.
How to calculate right angle?
Right angle is equal to 90 degrees. In a right angled triangle, the three sides are called: Perpendicular, Base(Adjacent) and Hypotenuse(Opposite). Perpendicular is the side that makes right angle with the base of the triangle.
How to tell if a triangle is right based on side lengths?
To tell if a triangle is a right triangle with given side lengths, use the Converse of the Pythagorean Theorem: square the two shorter sides (a and b) and add them; if that sum equals the square of the longest side (c), it's a right triangle (a2+b2=c2a squared plus b squared equals c squared𝑎2+𝑏2=𝑐2).
Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle?
Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle? The triangle is a right triangle because 5² + 12² = 13².
What does "revolved about the side" mean?
Parivrtta means revolved or turned around; parsva means side; kona is an angle. Revolved Side Angle Pose is a twisting posture that squeezes the abdominal organs, aiding in digestion, and requires a high degree of flexibility in the hips, legs and spine.
Is 5 cm, 12 cm, 13 cm a right triangle?
Yes, a triangle with sides 5cm, 12cm, and 13cm is a right triangle because it satisfies the Pythagorean theorem: 52+122=1325 squared plus 12 squared equals 13 squared52+122=132 (25+144=16925 plus 144 equals 16925+144=169), confirming the sides form a right angle, with 13cm as the hypotenuse.
Can 5, 12, and 13 make a right triangle?
This works not only for 3-4-5 but also for 6-8-10, 9-12-15, or any other multiples of each side length. No matter what positive integer n you choose for the figure above, you will produce a valid right triangle.
What type of triangle is 5 12 13?
The 5 12 13 triangle is an SSS special right triangle with the ratio between its side lengths as 5, 12, and 13. It is a common Pythagorean triple that is worth memorizing to save time when dealing with right triangles. The other common SSS special right triangle is the 3 4 5 triangle.
Is a right triangle always 45-45-90?
No, not all right triangles are 45-45-90 triangles; only those that are also isosceles, meaning they have two equal legs (sides) and two equal acute angles (45° each). Other common right triangles, like the 30-60-90 triangle, have different angle combinations, but all right triangles must have one 90° angle and the other two angles must add up to 90°.
Does 24/32 and 40 make a right triangle?
Answer: Yes, the numbers 24, 32, 40 can be the lengths of the three sides of a right triangle.
Why is hitting a triple so difficult?
This is because a triple requires a ball to be hit solidly to a distant part of the field (ordinarily a line drive or fly ball near the foul line closest to right field), or the ball to take an irregular bounce in the outfield, usually against the wall, away from a fielder.
Is 2025 a Pythagorean triple?
On Tuesday, September 16, 2025, math students across the county celebrated two unique numerical phenomena that highlight the beauty of mathematics: Pythagorean Triple Day and Perfect Square Day.