Question

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

Answer 1

wat u think

Answer 2

its is the third option between o and m beyond the arc?

Answer 3

what an obtuse isoceles looks like

Answer 4

close but not the answer

Answer 5

okay

Answer 6

if its beyond the arc, then it wont be an isosceles triangle, lengths would all be different

Answer 7

can it be on the arc?

Answer 8

think about it in terms of radius
an isosceles triangle needs to have 2 equal sides

assuming p is the center, L is a radius length away from it
this means you need another side thats a radius length away from P

thus meaning it would be on the arc

Answer 9

so its between l and p on the arc correct?

Answer 10

no... side LP is already given as a side of the isosceles triangle...

Answer 11

sorry i meant o and l

Answer 12

if its between O and L, then there wouldnt be an obtuse angle and thus no obtuse triangle

Answer 13

so its the last one O and M on the arc

Answer 14

yes...