For all angles to be acute, no single angle can be ≥ 90°
let's assume the angle between the 8 and 15 is 90°
by Pythagoras, the third side would have to be17.
So the largest integer we could have for the third side is 16
But to have a triangle , the sum of any two sides has to be greater than the third side.
let the third side be x
then
x+8 > 15 or x > 7
so possible third sides are
8,9,10,11,12,13,14,15,16 or 9 integer values
two sides of a triangle measure 8 and 15. how many integer values can be assigned to the third side so that all the angles in the triangle are acute.
1 answer
1 answer