itrixie

In a triangle with integer side lengths, one side is three times as long as a second side, and the length of the third side is 15. What is the greatest possible perimeter of the triangle?

Triangle ABC and triangle DBC share BC. AB=5 cm AC=12 cm DC=8 cm and BD= 20 cm. What is the least possible integral number of centimeters in BC?

How many different triangles can be formed having a perimeter of 7 units if each side must have integral length?

Two sides of scalene triangle ABC measure 3 centimeters and 5 centimeters. How many different whole centimeter lengths are possible for the third side?

A stick 5 cm long, a stick 9 cm long, and a third stick n cm long form a triangle. What is the sum of all possible whole number values of n?

thank you

I know that triangle ABC and DBC are obtuse and that if the triangle is obtuse then AC^2>AB^2+BC^2

I plugged the numbers in and I got that the least possible integral number for triangle ABC is 11 but the least possible integral number for triangle DBC is 19 and that base is too large for triangle ABC.

nvm I got it

I got 2

I know it is not 7. So it must be 3, 4, 5, or 6.

p.gayathri, what do you mean by 2 sides?

I know the range is 14>x>4

and the third side can not be 5 or 9

so that leaves 6, 7, 8, 10, 11, 12,and 13. That added up all together is 67 but my teacher said that was incorrect

14+13+12+11+10+9+8+7+6+5+4=99 13+12+11+10+9+8+7+6+5=81 14+13+12+11+10+8+7+6=81 Which one is it?