Question
The sides of a triangle are xcm, (x +3)cm and 10cm. If x is a whole number of cm, find the lowest value of x. Options
(A)
3
(B)
4
(C)
5
(D)
6
(A)
3
(B)
4
(C)
5
(D)
6
Answers
Reiny
In any triangle, the sum of two sides must be greater than the third side
xcm, (x +3)cm and 10
x + x+3 > 10 ----> x > 3.5
x + 10 > x+3 ---> 10 > 3 , which is true
x+3 + 10 > x ---> 13 > 0 , yup, true also
so
x > 3.5
But x is supposed to be a whole number, so
x = 4 is the lowest whole number we can use
xcm, (x +3)cm and 10
x + x+3 > 10 ----> x > 3.5
x + 10 > x+3 ---> 10 > 3 , which is true
x+3 + 10 > x ---> 13 > 0 , yup, true also
so
x > 3.5
But x is supposed to be a whole number, so
x = 4 is the lowest whole number we can use
anonymous
thank you so much