The measures of two angles of a triangle are in the ratio 3 : 7. If the sum of these two measures is equal to the measure of the third angle, then find the smallest angle.

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 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.

In triangle DEF, side EF is produced to G. If $$\angle DFG$$​ = 110° and EF = DF, then $$\angle DEF$$​ measures:

​In an isosceles ∆ABC, if the measure of ∠A is twice that of the base ∠B, then the measure of ∠C will be: ​

The sides of a triangle are 15 cm,28 cm, and 41 cm. What is the length of its altitude corresponding to the side with a length of 28 cm ?

The internal bisectors of ∠B and ∠C of △ABC meet at D. If ∠A= $$75^∘$$​, the ∠BDC is:

In △PQR,∠PQR = $$90^∘$$,PQ =3 cm and PR = 6 cm. What is the measure of ∠PRQ ?

The angles of triangle are such that one is average of other two, then the angles are:
1. π/6, π/3, π/2
2. π/3, π/3, π/2
3. π/6, π/3, π/4
4. π/2, π/2, π/3