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14 May, 14:43

The length of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary let's: 28 in and 15 in

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Answers (2)
  1. 14 May, 14:55
    0
    To solve this problem you must apply the proccedure shown below:

    You must apply the Pythagorean Theorem.

    a) Taking 28 inches as the hypotenuse of the right triangle (the largest side), you have:

    a^2=b^2+c^2

    Where "a" is the hypotenuse, and "b" and "c" are the other sides of the right triangle.

    Then, you have:

    a=28 inches

    b=15 inches

    c^2=a^2-b^2

    c=√ (a^2-b^2)

    c=23.6

    Therefore, the answer is: 23.6 inches

    a) Taking 28 inches as a one the other sides that are smaller than the hypotenuse, you have:

    a=√ (b^2+c^2)

    Where "a" is the hypotenuse

    a=31.8 inches

    The answer is: 31.8 inches
  2. 14 May, 15:12
    0
    Taking the 28 and 15 to be the lengths of two shorter sides, we can get the hypotenuse using the formula;

    a²+b²=c², Where a and b are the base and height of the triangle and c is the hypotenuse.

    So, c²=a²+b²

    c²=28²+15²

    c²=784+225

    c²=1009

    c=√1009

    = 31.8
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