MathematicsChoose whether the given statement is true or false.The sides of a triangle have lengths 11,15 and k where k is an integer. Thus, is the values of k and it is the triangle obtuse?

Choose whether the given statement is true or false.

The sides of a triangle have lengths 11,15 and k where k is an integer. Thus, is the values of k and it is the triangle obtuse?

A
True
B
False

Solution:

Given:

Here, Sum of two sides of triangle is more than third side,

The difference of any two sides of triangle is less than third side,

Thus,

A triangle is said to be obtuse; the square of a side should be greater than the sum of squares of the other two sides.

Number of values possible for k are:

Hence, the given statement is true.

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