In given triangle ABC, OB and OC are bisectors of ∠B and ∠C respectively, then ∠BOC
a is equal to –

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:

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

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

Fifteen distinct points are randomly placed on the circumference of a circle .. At most how many triangles can be formed using these points?

Which one of the following, drawn in a linear scale, represents the triangle shown in the figure above?
Select the CORRECT option

If the areas of two similar triangles are in the ratio 121 : 225, what would be the ratio of the corresponding sides?

In two triangle ABC and DEF, if $$\bar{AB} = \bar{EF} , \bar{BC} = \bar{DF} \space and \space \bar{CA} = \bar{DE}, \space then:$$​​

A tree broke at a height of 8 m from its foot and the broken upper part touches the ground at a point of 6 m from its foot. Find the height of the tree.