In ΔABC, side BC is produced to point D and side CA is produced to point E. If ∠BAE = 115° and ∠ACD=104°, then which of the two angles ∠ABC and ∠BAC is larger and by how much ?

In a triangle, if one exterior angle is $$120^∘$$​, and the opposite interior angle is $$40^∘$$​, what is the other interior angle adjacent to it?

A triangle has angles $$A=50^∘,B=60^∘$$​, and side AB=10 cm. Find the third angle ?

The sides of a triangle are 35 cm, 54 cm and 61 cm respectively. The length of the longest altitude is-

In the given figure, the line segment XY is parallel to side AC of ΔABC and divides the triangle into two parts of equal areas, then ratio of AX and AB is

We cannot construct a triangle if we are given -

The area of a triangle is 5 square units. Two of its vertices are } (2,1) and (3,-2). The third vertex, which lies on the line $$y = x + 3$$​, is given by:

If in two triangles DEF and PQR, ∠D =∠Q and ∠R = ∠E, then which of the following is not true?

A triangle with vertices (4, 0), (−1, −1), and (3, 5) is:

If △ABC is an isosceles triangle such that ∠ABC = 90°, then the true statement about △ABC is-

The angles of a triangle x, y, and z are in descending order.

If 2x − y = 100° = 3y − 2z, its smallest angle is: