Two corners of an isosceles triangle are at (2 ,3 ) and (1 ,4 ). If the triangle's area is 64 , what are the lengths of the triangle's sides?
1 Answer
Oct 21, 2016
The 3 sides are
Explanation:
Let b = the length of the base from
This cannot be one of the equal sides, because the maximum area of such a triangle would occur, when it is equilateral, and specifically:
This conflicts with our given area,
We can use the Area to find the height of the triangle:
The height forms a right triangle and bisects the base, therefore, we can use the Pythagorean theorem to find the hypotenuse: