How many isosceles triangle with integers sides are possible such that sum of its side is 19
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0
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 !!
Answered by
38
Answer:
12 Triangles is possible...
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