the length of two sides of a triangle is 4 cm and 6 CM between what two method should be the length of the third side fall
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Answer:
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The length of two sides of a triangle are 4 cm and 6 cm, between what two measures should the third side fall?
The length of the two sides of a triangle are 4 cm and 6 cm. Between what two measures should the third side fall?
The third side should be more than the difference between the other two sides and less than the sum of the other two sides.
6–4 = 2 cm and 4+6 = 10 cm.
So the third side should be between 2.1 cm and 9.9 cm, and if only integers are considered then the third side should be anywhere between 3 cm and 9 cm.
Consider the sides of the triangle like radii on a circle. Let’s “anchor” the four cm line in it’s current position and rotate the 6cm piece.
The farthest away the end points of the lines can be from each other while the lines are still attached occurs when the lines are in a straight line directly opposed to one another, thus, you add the side lengths to get the triangle of side lengths 4,6, and 10.
Rotate the 6cm piece 180 degrees and you will find the closest point between the endpoints. Here, the two lines perfectly overlap, and so the side length of the third side will be the difference between the length of the smaller and larger side. In this case, it would be 6–4=2.
Hope it helps mark as brainliest
first one is the Pythagoras theorem and another one is the karn bhuja theorem