Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

The hypotenuse of a right triangle is 15 centimeters long. one leg is 9 cm long. How long is the other leg? ?

please help? im so confused.

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  • 1 decade ago
    Favorite Answer

    use the pythagoreon thyrom

    a^2 + b^2 = c^2

    9^2 + x^2 = 15^2

    81 + x^2 = 225

    x^2 = 144

    x = 12 cm

  • Anonymous
    1 decade ago

    The Pythagorean theorem says that the sum of the squares of the legs of a right triangle equals the square of the hypotenuse.

    You have all the elements to apply Pythagorean theorem.

    x^2 + 9^2 = 15^2

    x^2 + 81 = 225

    x^2 = 144

    x = 12 cm

  • Anonymous
    1 decade ago

    Pythagorean Theorem: side^2 + side ^2 = hypotenuse^2

    a^2 + b^2 = c^2;

    a^2 + 9^2 = 15^2

    subtract 9^2 from both sides to find a^2

    a^2 = 15^2 - 9^2

    a^2 = 225 - 81

    a^2 = 144

    take the square root of both sides

    a = √144

    a = 12

  • 1 decade ago

    well a squared plus b squared equals c squared. ( a and b being the legs and c being hypotenuse. ) Square the first leg (81) and the hypotenuse (225) now subtract 81 from 225 to get b by itself in the equation 81 + b =225

    225-81=144

    now b squared = 144

    take square root of 144

    you get 12

    the other leg is 12

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  • 1 decade ago

    12

    if you think about it, i'm sure you know that 3,4, & 5 and 5, 12, & 13 are the basic right triangle lengths.

    so 15 and 9 are the 3, 4, 5 sequence just times 3.

    5 x 3 = 15

    3 x 3 = 9

    so the other side has to be

    4 x 3 = 12 !!!

  • 1 decade ago

    a^2+b^2=c^2 where a and b are legs and c is hypotenuse. Plug the information in, and you get 12.

  • 1 decade ago

    a^2 + b^2 = c^2 where a and b are the two legs of a right triangle and c is the hypotenuse. So,

    a^2 + (9cm)^2 = (15cm)^2

    a^2 + 81cm^2 = 225cm^2

    a^2 = 144cm^2

    a = 12cm

  • Anonymous
    1 decade ago

    a squared + b squared = c squared.

    the hypotenuse is always c.

    so 15 x 15 = 225

    minus b squared which is 9 x 9 = 81

    so 225 - 81 is equal to a.

    get it?

  • Anonymous
    1 decade ago

    a squared + b squared = c squared

    c always being the hypotenuse

    so 15 squared is 225 while 9 squared is 81

    plug it in

    81 + bsquared = 225

    subract 81

    bsquared = 144

    Find the square root of 144

    Which is 12.

  • 1 decade ago

    use the formula:

    a^2+b^2=c^2

    then plug ur numbers in:

    9^2+b^2=15^2

    then square the known numbers

    you get:

    81+b^2=225

    then subtract 81 from each side to get b^2 by itself

    you get:

    b^2=144

    then take the square root of each side to get b by itself

    you get:

    b=12

    and that's your final answer

    Source(s): my brain
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