An isosceles triangle has sides A, B, and C, such that sides A and B have the same length. Side C has a length of #7 # and the triangle has an area of #112 #. What are the lengths of sides A and B?
Side A and Side B both are
The area equation of a triangle is
We know the area, and the base (side C), so we solve for height.
Now that we know the height, we can use the Pythagorean theorem to solve the side lengths.
Since side A and side B are the same length, then