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    Calc - Trig

    The hypotenuse of a right triangle is 13cm. Find the measures of the remaining angles that will maximize the perimeter.

    Since it's a right triangle, do you just assume the two angles are both 45 degrees? I'm not sure how to get the right angles for this question
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    Quote Originally Posted by Macleef View Post
    The hypotenuse of a right triangle is 13cm. Find the measures of the remaining angles that will maximize the perimeter.

    Since it's a right triangle, do you just assume the two angles are both 45 degrees? I'm not sure how to get the right angles for this question
    Call the other two sides a and b. Then
    P = a + b + 13
    and
    a^2 + b^2 = 13^2

    So b = \sqrt{169 - a^2}[/tex]
    and thus
    P = a + \sqrt{169 - a^2} + 13

    Now maximize P. That will give you values for a and b. Now use the definitions of sine and cosine to find the angles.

    -Dan
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    Hello !

    Quote Originally Posted by Macleef View Post
    The hypotenuse of a right triangle is 13cm. Find the measures of the remaining angles that will maximize the perimeter.

    Since it's a right triangle, do you just assume the two angles are both 45 degrees? I'm not sure how to get the right angles for this question
    Calc - Trig-hypotenuse.jpg

    Angle B is 90-¬
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