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28/06/2021

Which of the following are possible measures for the sides of a triangle?

Which of the following are possible measures for the sides of a triangle?

3,4,5 ; 5,12,13 ; 9,12,15 are the possible measures of the triangle’s sides.

What is the measure of the third side of a triangle?

Just like the Law of Sines, the Law of Cosines works for any triangle, not just right triangles. In particular, the Law of Cosines can be used to find the length of the third side of a triangle when you know the length of two sides and the angle in between. To use the Law of Sines to find a third side: 1.

How do you find the length of a triangle given two sides?

The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.

Which is the length of the third side of the right triangle?

The side opposite the right angle is the hypotenuse. The Pythagorean theorem is used to solve for the length of the hypotenuse. If a right triangle has legs measuring a and b with hypotenuse c, the Pythagorean theorem is a² + b² = c².

What is the length of the missing side?

The length of the missing side is 180 units. That’s not much shorter than the hypotenuse, but it still shows that the hypotenuse has the longest measure.

Does 20 25 and 15 represent a right triangle?

The largest length is always the hypotenuse. If we were to multiply any triple by a constant, this new triple would still represent sides of a right triangle. Therefore, 6, 8, 10 and 15, 20, 25, among countless others, would represent sides of a right triangle.

What is the Pythagorean Triplet of 14?

So, 14,48and50 are the required Pythgorean triplets.

What are the 5 most common Pythagorean triples?

Pythagorean theorem Integer triples which satisfy this equation are Pythagorean triples. The most well known examples are (3,4,5) and (5,12,13). Notice we can multiple the entries in a triple by any integer and get another triple. For example (6,8,10), (9,12,15) and (15,20,25).

Why do we justify 5 7 9 Pythagorean triplets?

Answer: No 5 7 9 isn’t a Pythagorean template. because square of 5 and 7= 25+49=74 and square of 9 is 81. that’s why 5 7 9 is not a Pythagorean triplate.

Is the set of point 5’7 and 9 a Pythagorean triplet?

No, because 5 square+ 7 square=74. and 9 square = 81. thats why this is not Pythagorean triplets.

What is Pythagorean triples formula?

A 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.

Is 3 4 5 a Pythagorean triplets justify?

Example: (3,4,5) is a Pythagorean Triple. (6,8,10) is also a Pythagorean Triple, but is not shown as it is just (3,4,5) times 2.

Is 2 3 4 a Pythagorean triples justify?

∴(2,3,4) is not a Pythagorean triplet.

What are the first 5 Pythagorean triples?

, are (3, 4, 5), (6, 8,10), (5, 12, 13), (9, 12, 15), (8, 15, 17), (12, 16, 20), (15, 20, 25), (7, 24, 25), (10, 24, 26), (20, 21, 29), (18, 24, 30), (16, 30, 34), (21, 28, 35).