Define a triangle.

Explain the following terms: (i) Triangle (ii) parts or elements of a triangle (iii) Scalene triangle (iv) isosceles triangle (v) Equilateral triangle (vi) acute triangle (vii) Right triangle (viii) obtuse triangle (ix) Interior of a triangle (x) exterior of a triangle.

Explain the following terms: (i) Triangle (ii) parts or elements of a triangle (iii) Scalene triangle (iv) isosceles triangle (v) Equilateral triangle (vi) acute triangle (vii) Right triangle (viii) obtuse triangle (ix) Interior of a triangle (x) exterior of a triangle.

Given triangle ABC ~ triangle PQR if (AB)/(PQ)=1/3 then find (ar triangle ABC)/(ar triangle PQR)

Let Delta be the area of a triangle. Find the area of a triangle whose each side is twice the side of the given triangle.

If Delta be area of incircle of a triangle ABC and Delta_1,Delta_2,Delta_3 be the area of excircles then find the least value of (Delta_1 Delta_2 Delta_3)/(729 Delta^3)

If Delta_(1) is the area of the triangle formed by the centroid and two vertices of a triangle Delta_(2) is the area of the triangle formed by the mid- point of the sides of the same triangle, then Delta_(1):Delta_(2) =

Distinguish between a triangle and its triangle region.

Distinguish between a triangle and its triangle region.

In the following diagrams, ABCD is a square and APB is an equilateral triangle. In each case, (i) Prove that : Delta APD ~= Delta BPC (ii) Find the angles of Delta DPC

State true or false. (a) A median of a triangle may lie outside the triangle. (b). The medians of a triangle meet at more than one points. (c) The centroid of a triangle always lies inside the triangle.