Question

assume three strings of different lengths 78 CM 117 cm in 351 CM cut into equal Lengths find the greatest possible angles of each piece?

Answer 1

To find the greatest possible angles of each piece, divide the strings into equal lengths using the greatest common divisor (GCD) of their lengths. Then calculate the angles for each piece.

Step-by-step explanation:

To find the greatest possible angles of each piece, we need to divide each string into equal lengths. Let's assume that all three strings are cut into n equal lengths. The length of each piece for the first string is 78/n cm, for the second string is 117/n cm, and for the third string is 351/n cm.

Since we want to find the greatest possible angles, we should divide each string into the same number of equal lengths.

Let's assume the greatest common divisor (GCD) of the lengths of the three strings is d cm. We can set up an equation: d = GCD(78, 117, 351). Once we find the value of d, we can divide each string by d to obtain the equal lengths.

For example, if we find that the GCD is 39, we can divide the first string into 2 cm pieces (78/39 = 2 cm), the second string into 3 cm pieces (117/39 = 3 cm), and the third string into 9 cm pieces (351/39 = 9 cm).

This will ensure that each piece has an equal length and allow us to calculate the greatest possible angles for each piece.

Answer 2

To find the greatest possible angles of each piece when three strings of different lengths are cut into equal lengths, divide each string into n equal lengths. However, the question does not provide enough information to determine the angles directly.

Step-by-step explanation:

To find the greatest possible angles of each piece when three strings of different lengths are cut into equal lengths, we need to divide each string by the same number so that the resulting pieces are of equal length. Let's assume we divide each string into n equal lengths.

Therefore, the length of each piece for the string of 78 cm will be 78/n cm, for the string of 117 cm will be 117/n cm, and for the string of 351 cm will be 351/n cm.

Since we want to find the greatest possible angles, we have insufficient information to determine the angles directly. Angles are typically measured based on the lengths of the sides of a triangle, and we don't know any specific relation between the lengths of the sides and the angles.

Learn more about Angles in triangles