Find the lengths of the sides and the measures of the angles that are not given.

Question

anonymous · Answer

a=4, b= 4

anonymous · Answer

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mathmale · Answer

You definitely have a "right" triangle here.  What does that mean?  Another way to characterize this triangle would be "isosceles," because a=b.

Think:  If you have a right triangle, what formula / theorem applies to finding the length of the hypotenuse?

mathmale · Answer

You also need to characterize / identify / name the two angles other than the 90 degree angle.

anonymous · Answer

sorry my computer was lagging anyways you use the pythagorean theorem to find c... so$$c=\frac{ \sqrt{2} }{ 2}$$

anonymous · Answer

and I can't tell if this is a 45, 45, 90 triangle or another type...

mathmale · Answer

You have done a fine job of finding the hypotenuse of this triangle.  
Because sides a and b are equal, both of the acute angles are necessarily equal also.
The sum of all of the interior angles of a triangle is 180 degrees.  One of your angles is 90 degrees.  How many degrees is the sum of the other two angles?  If those two angles are equal, as they must be, then what is the measure of each of the acute angles?

anonymous · Answer

45 and 45?

anonymous · Answer

sorry for the late response, was eating dinner haha

mathmale · Answer

That's great.  You've solved this problem.

mathmale · Answer

so yes, you do have a 45-45-90 degree triangle.

anonymous · Answer

thanks for the help @mathmale ! ☻☺