## jazy 3 years ago The figure below shows a partially completed construction of an obtuse isosceles triangle. Points P and L represent two vertices of the triangle. Where should the point for the third vertex lie? between O and L and on the arc between O and L and beyond the arc between O and M and beyond the arc between O and M and on the arc

1. jazy

2. jazy

I forgot the steps to do this :/

3. ganeshie8

whats obtuse whats isosceles ?

4. ganeshie8

one is angle classification, and the other is side classification, right

5. jazy

Isoscolese triangle has 2 congruent sides. Obtuse angle is < 90 degrees

6. jazy

Obtuse angle is greater than 90 degrees

7. ganeshie8

thats right !

8. ganeshie8

lets see hw to construct it

9. ganeshie8

look at the pix, already they plotted two vertices of trianlge, P and L

10. ganeshie8

question is asking to find where the 3rd vertex of triangle goes

11. ganeshie8

|dw:1348081096179:dw|

12. ganeshie8

|dw:1348081153595:dw|

13. jazy

For it to be obtuse the point would have to be in between O and M right?

14. ganeshie8

you're correct ! between O and M and on arc

15. ganeshie8

yep

16. jazy

Oh! Okay, the drawing helps a lot(: Thanks!

17. ganeshie8

and for it to be isosceles, it has to be on arc

18. ganeshie8

|dw:1348081265981:dw|

19. ganeshie8

cuz, those two ticked sides form radius of semicircle... which are always equal

20. jazy

Well that explains the arc(: Thank you

21. ganeshie8

np :D