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

Two sides of a triangle have lengths 4 and 10. If the third side has a length of integer x, how many possible value are there for x?

Two sides of a triangle are 5 cm and 12 cm long. The measure of third sides is an integer in cm. if the tirangles is an obtuse tirangle, then how many such triangles are possible ?

Area of the triangle with vertices (k,0),(1,1) and (0,3) is 5 sq. units. Find the values of k.

If two sides of a triangle are each k, then its maximum area is

The vertices of a triangle are (1,-3), (4,k) and (-9,7) . If its area is 15 sq units, find the value of k.

The sides of a scalene triangle are integers in cm If the perimeter of the triangle is 15 cm, then how many such triangles exist?

If the area of triangle having vertices (2,-5),(5,4) and (k,4) is 35 sq. units , then find the value of k.

Three consecutive terms of a non-constant GP With common ratio r,(rgt1) are the sides of a triangle. Find the value of 3[r]+[-r] where [k] denotes the greatest integer function less than or equal to k.