Q2 of 49 Page 151

Justify the following statements with reasons:

The difference of any two sides of a triangle is less than the third side.

If a, b, c are sides of a triangle we know that the sum of two sides is greater than the third


i.e. a + b > c


rearranging we get a > c – b


More from this chapter

All 49 →
2

Justify the following statements with reasons:

The sum of three sides of a triangle is more than the sum of its altitudes.

 2

Justify the following statements with reasons:

The sum of any two sides of a triangle is greater than twice the median drawn to the third side.

 3

Two triangles ABC and DBC have common base BC. Suppose AB = DC and ∠ABC = ∠BCD. Prove that AC = BD.

 4

Let AB and CD be two line segments such that AD and BC intersect at O. Suppose AO = OC and BO = OD. Prove that AB = CD.