Circum center of a right isosceles triangle is located on the midpoint of the hypotenuse.
Circumcenter of a triangle is point where the perpendicular bisectors of the sides of triangles intersect. Keeping this as a center, you can draw a circle & all the three vertices of the triangle lies on the circumference of the circle. Circumcenter is equal distance from the vertices of the triangle.
For acute triangle, circumcencenter will be inside the triangle.
For obtuse triangle, circumcenter will be outised the triangle.
Lets look at examples where the circumcenters are located:
In a obtuse isosceles triangle, the circumcenter is always outside the triangle.
In a right isosceles triangle, the circumcenter is located on the midpoint of the hypotenuse. The hypotenuse is the longest side and midpoint means the middle.
In a acute isosceles triangle, the circumcenter is located outside, inside, or on the triangle.
Your surface area is: S=x^2+4xh=84 square inches and h=2 inches; so you get: x^2+(4×2)x=84 x^2+8x-84=0 qhich is a quadratic equation. Using the quadratic formula you get two results for x: x1=-14 and x2=6 choose the second (positive)
the slope would be -3/2 because you have to find the reciprocal and switch the sign. To find the y intercept you would plug in the points to the equation.
