Question

How many isosceles triangle with integers sides are possible such that sum of its side is 19​

Answer 1

Answer:

Total 12 such isosceles triangles are possible. Here the sum of 2 equal sides is not = 19. Because in that case, each side length will not be an integer.

=> the sum of third side & one of the equal sides = 19

& since the sum of any 2 sides of a triangle > third side.

So side measures will be as follows…

9 triangles are …

18, 1, 18

17, 2, 17

16, 3, 16

15, 4, 15

14, 5, 14

13, 6, 13

12, 7, 12

11, 8, 11

10, 9, 10

Remaining 3 triangles will are..

12, 7, 7

11, 8, 8

10, 9, 9

Total= 9+3 = 12 triangles.

Hope it helps !!

Answer 2

Answer:

12 Triangles is possible...