What are perfect triangles?

In trigonometry, a perfect triangle is defined as a triangle that has a perimeter equal to its area. There are several ways of finding perfect triangles. A perfect triangle can be an equilateral, an isosceles, or a right triangle.

Why are 3 4 5 and 5 12 13 Pythagorean triples?

Pythagorean theorem

The square of the length of the hypotenuse of a right triangle is the sum of the squares of the lengths of the two sides. This is usually expressed as a² + b² = c². Integer triples which satisfy this equation are Pythagorean triples. The most well known examples are (3,4,5) and (5,12,13).

Are all 5/12/13 triangles right?

Answer and Explanation: Yes, a right triangle can have side lengths 5, 12, and 13.

Can a 30 40 50 Make a triangle?

Explanation: 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 8 15 17 make triangles?

Yes, 8, 15, 17 is a Pythagorean Triple and sides of a right triangle.

How to construct an equilateral triangle

Does 4 8 12 make triangles?

Use the Triangle Inequality Theorem. Check to make sure that the smaller two numbers add up to be greater than the largest number. 4 + 8 = 12 and so yes these lengths make a triangle.

Does 9 12 15 make triangles?

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 10 6 8 make right triangles?

Hence, the correct answer is yes and the given triangle is right triangle. Q.

Are all 45-45-90 triangles?

45-45-90 triangles are special right triangles with one 90 degree angle and two 45 degree angles. All 45-45-90 triangles are considered special isosceles triangles.

Are all 3 4 5 triangles right?

The 3 : 4 : 5 triangles are the only right triangles with edges in arithmetic progression. Triangles based on Pythagorean triples are Heronian, meaning they have integer area as well as integer sides.

What is the Pythagorean triple rule?

Pythagorean triples are a²+b² = c² where a, b and c are the three positive integers. These triples are represented as (a,b,c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle. The most known and smallest triplets are (3,4,5).

Does 12 16 20 make a right triangle?

The equation is true! So, a triangle with side lengths 12, 16, and 20 is a right triangle.

What does a 30-60-90 triangle look like?

A 30-60-90 triangle is a right triangle with angle measures of 30º, 60º, and 90º (the right angle). Because the angles are always in that ratio, the sides are also always in the same ratio to each other.

Does 7/8 15 make triangles?

In the usual sense of things (Euclidean Geometry), no. You could have a 'degenerate triangle', but that's not exactly a triangle in the way we usually think about a triangle.

Does 5 7 10 make triangles?

Earlier Problem Revisited. The three lengths 5, 7, and 10 do make a triangle. The sum of the lengths of any two sides is greater than the length of the third.

Does 4 5 6 make right triangles?

Hence, 4,5 and 6 cannot form the sides of right angled triangle. Was this answer helpful?

Does 4 7 9 make right triangles?

Acute, Right, Obtuse, The lengths do not form a triangle. For lengths to form a triangle, the sum of any two sides should be greater than the third side. Hence, it is an obtuse triangle.

Does 20 21 and 29 make a 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 4 8 10 make a right triangle?

Yes, because the sum of any two side lengths is greater than the third side length. This means that the side lengths of 4, 8 and 10 form a triangle.

Does 5'7 and 12 make a triangle?

The 5, 7, 12 answer choice is the only option for which this is not the case. and . Therefore, the third side length must be between 2 and 12. Because it is equal to the sum, not less than the sum, it is not possible that these could be the side lengths of a triangle.

Does 5 7 11 make triangles?

A triangle with length of sides 5, 7 and 11 is obtuse.

Does 24 32 40 make a right triangle?

Answer: Yes, the numbers 24, 32, and 40 can make a right triangle.

What is the rule 3 4 5 triangle?

The 3:4:5 triangle is the best way I know to determine with absolutely certainty that an angle is 90 degrees. This rule says that if one side of a triangle measures 3 and the adjacent side measures 4, then the diagonal between those two points must measure 5 in order for it to be a right triangle.