1. ## 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

2. Originally Posted by Macleef
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

3. Hello !

Originally Posted by Macleef
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

Angle B is 90-Â