The endpoints of the hypotenuse are insufficient to specify a right triangle. The perimeter can range from twice the distance between these points, about 18.868 units, to 1+√2 times the distance between these points, about 22.776 units.

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In the attached figure, the colored numbers are the total length of the two legs of that color. The hypotenuse and its length are in black.

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The distance between two points is given by the formula ...

d = √((x2-x1)^2 +(y2 -y1)^2)

The perimeter will be the sum of the distances between pairs of points that define the vertices of the triangle. We need to know the third vertex to answer the question precisely.

5 0

3 years ago

A bag contains 9 marbles: 4 are green, 3 are red, and 2 are blue. Susan chooses a marble at random, and without putting it back,

Valentin [98]

The probability of picking blue is the number of blue marbles/ total marbles.

For the first pick there are 2 blue marbles and 9 total marbles so the probability of picking blue would be 2/9

After picking the first marble there would be 1 blue marble left and 8 total marbles. The probability of picking the blue marble would be 1/8

To find the probability of picking both, multiply the probability of each one by each other:

2/9 x 1/8 = 2/72, which reduces to 1/36

The answer is 1/36

3 0

3 years ago