|
Rule 1: For an acute angled triangle, the square of the LONGEST side MUST BE LESS than the sum of squares of the other two sides
Rule 2: For any triangle, sum of any two sides must be greater than the third side
The sides are 10, 12 and 'x'.
x can take the following values: 7,8,9,10,11,12,13,14,15 – A total of 9 values.
When x = 3, a triangle is possible, but it is an OBTUSE angled triangle (Rule 1 is NOT satisfied).
The smallest value of x that satisfies BOTH conditions is 7. (10^2 + 7^2 > 12^2)
The highest value of x that satisfies BOTH conditions is 15. (10^2 + 12^2 > 15^2)
When x = 16, a triangle is possible, but it is an OBTUSE angled triangle (Rule 1 is NOT satisfied).
|
Login
Register
FAQ
Search
