Two corners of an isosceles triangle are at (8 ,3 ) and (5 ,4 ). If the triangle's area is 4 , what are the lengths of the triangle's sides?
1 Answer
The length of the sides are
Explanation:
Let the points of the triangle be
Area of triangle is A =
Given
Substituting we have the below Area equation:
Distance between points
Distance between points
Squaring both sides and subsituting
Factorizing this, we get
y = 1 or y = 2.2 . y=2.2 can be discarded. Hence, the third point has to be (6,1).
By calculating the distances for points