The-perimeter-of-a-triangle-is-16-units-How-many-triangles-with-integer-sides-can-be-made-

Question Number 188239 by BaliramKumar last updated on 26/Feb/23

The perimeter of a triangle is 16 units. How many triangles with integer sides can be made?

Answered by HeferH last updated on 26/Feb/23

18 ?

Commented by BaliramKumar last updated on 27/Feb/23

a n s w e r i s 5

Answered by Frix last updated on 27/Feb/23

Let a ⩽ b ⩽ c

a b c

2 7 7

3 6 7

4 5 7

4 6 6

5 5 6

Commented by BaliramKumar last updated on 27/Feb/23

n i c e

Answered by BaliramKumar last updated on 27/Feb/23

p = 16

I f^{'} p^{'} i s e v e n

N o . o f △ = [\frac{p^{2}}{48}] = [\frac{16 \times 16}{48}] = [5 . \bar{3}] = 5

I f^{'} p^{'} i s o d d

N o . o f △ = [\frac{{(p + 3)}^{2}}{48}]

[x] = N e a r e s t i n t e g e r f u n c t i o n

Commented by manxsol last updated on 27/Feb/23

d e d u c t i o n f o r m u l a ?

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