Quick Answer: What Numbers Make Up A Triangle?

What numbers can form a triangle?

SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Since, , you can not form a triangle with side lengths 4 ft, 9 ft, 15 ft.

SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side..

Does 9 12 15 make a right triangle?

The sum of the squares of 9 and 12 does indeed equal the square of the hypotenuse, h=15; therefore, the triangle is indeed a right triangle. Therefore, final answer: Yes, the triangle with sides 9,12 and 15 is a right triangle.

What is the sum of a triangle sides?

Triangle Inequality Theorem. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

What is the rule for side lengths of a triangle?

According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side.

How do you find the third side of a triangle if two sides are given?

SAS. This means we are given two sides and the included angle. For this type of triangle, we must use The Law of Cosines first to calculate the third side of the triangle; then we can use The Law of Sines to find one of the other two angles, and finally use Angles of a Triangle to find the last angle.

What 3 numbers can form a right triangle?

Pythagorean tripleA Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. … The name is derived from the Pythagorean theorem, stating that every right triangle has side lengths satisfying the formula a2 + b2 = c2; thus, Pythagorean triples describe the three integer side lengths of a right triangle.More items…

How do you know if its a right triangle?

A right triangle is a triangle in which one of the angles is a 90∘ angle. The “square” at the vertex of the angle indicates that it is 90 degrees. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.

Does 10 24 26 Make a right triangle?

The two quantities are equal. … We know that by the Pythagorean theorem, the hypotenuse is equal to the square root of (102 + 242) = 100 + 576 = 676. The square root of 676 is 26, so the perimeter of the right triangle is 10 + 24 + 26 = 60.

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 5 12 and 13 form a right triangle?

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. That means our triangle has a 90 degree angle for angle C. … For our triangle we now know that a = 5, b = 12, c = 13 and C = 90 degrees.

Does 6 8 and 10 make a right triangle?

2 Answers. They are equal, and thus, the triangle is a right triangle. … These sides are 6: 8: 10, then the triangle is a right one.

Does 20 21 and 29 make a right triangle?

. The right triangle having these side lengths is sometimes called the 3, 4, 5 triangle. 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). …

What is the sum of all 3 sides of a triangle?

Thus, we can say that a triangle is a polygon, which has three sides, three angles, and three vertices. And, the sum of all three angles of any triangle equals to 1800.

What is the rule for the third side of a triangle?

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.