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5 November, 19:48

Two sides of a right triangle have the lengths 4 and 5. What is the product of the possible lengths of the third side? Express the product as a decimal rounded to the nearest tenth.

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  1. 5 November, 20:00
    0
    19.2

    Step-by-step explanation:

    1st Case:

    4 and 5 are legs of the right triangle.

    Using the pythagorean therom: a^2+b^2=c^2

    We can say that 4^2+5^2=x^2

    16+25=x^2

    41=x^2

    x=√41

    √41 is about 6.4

    x=6.4

    2nd Case

    5 is the hypotenuse of the right triangle and 4 is the legs.

    Using the pythagorean therom: a^2+b^2=c^2

    We can say that 4^2+x^2=5^2

    16+x^2=25

    x^2=9

    x=3

    Final Step

    We need to multiply the two possible lengths for x. So for case 1 the length of x was 6.4 and for case two the length was 3. 6.4*3=19.2

    Anwser: 19.2
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