# SOLUTION: Show that the points (4,5),(1,1) and (-2,5) are the vertices of an isosceles triangle. Find the area.

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 Click here to see ALL problems on Length-and-distance Question 166150: Show that the points (4,5),(1,1) and (-2,5) are the vertices of an isosceles triangle. Find the area.Found 2 solutions by MRperkins, edwin_arquero:Answer by MRperkins(300)   (Show Source): You can put this solution on YOUR website!use the distance formula find the distance between (4,5) and (1,1) distance=5 find the distance between (1,1) and (-2,5) distance=5 find the distance between (-2,5) and (4,5) distance=6 a triangle with 2 congruent sides is an isosceles triangle next, bisect the angle where the two congruent sides meet and draw a straight line forming a 90 degree angle with the third side. the new triangle that this forms has one side with length of 3, hypotenuse of 5 and an unknown length. Use the Pythagorean Theorum to find the 3rd side. We find that it is 4. Then use the A=1/2BH formula to find the area of the triangle. click on my name to go to my website, once there go to the "Solutions" page and there is a pdf file so you can see how this looks when drawn out. . Hope this helps! . MRperkins Answer by edwin_arquero(1)   (Show Source): You can put this solution on YOUR website!the radius of circle is 5 center (-3,-4) find the lenght of chord bisected (-11/2) (-13/2)