Maths

Prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals. Prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral [...]

Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians. Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians. October 5, 2020 Category: Chapter 6 - Triangles , [...]

D, E and F are respectively the midpoints of sides ab BC and CA of triangle ABC find the ratio of the areas of triangle DEF in triangle ABC. D E and F are respectively the midpoints of sides ab BC and CA of triangle ABC find the ratio of the areas of triangle DEF [...]

If the area of two similar triangles are equal, prove that they are congruent. If the area of two similar triangles are equal prove that they are congruent. October 5, 2020 Category: Chapter 6 - Triangles , Maths , NCERT Class 10 ,

In Fig. 6.44, ABC and DBC are two triangles on the same base BC. If AD intersects BC at O, show that ar(ABC)/ar(DBC) = AO/DO. ABC and DBC are two triangles on the same base BC. If AD intersects BC at O In Fig. 6.44 show that ar(ABC)/ar(DBC) = AO/DO. October 5, 2020 Category: Chapter [...]

Diagonals of a trapezium ABCD with AB∥DC intersect each other at the point O. If AB = 2 CD, find the ratio of the areas of triangles AOB and COD Diagonals of a trapezium ABCD with AB∥DC intersect each other at the point O. If AB = 2 CD find the ratio of the areas [...]

Let triangle abc similar to triangle def and their areas be, respectively 64 cm^2 and 121 cm^2 . If ef = 15.4 cm, find bc. find bc. Let triangle abc similar to triangle def and their areas be respectively 64 cm^2 and 121 cm^2 . If ef = 15.4 cm October 5, 2020 Category: Chapter [...]

If AD and PM are medians of triangles ABC and PQR, respectively where ΔABC ∼ ΔPQR prove that AB/PQ = AD/PM. If AD and PM are medians of triangles ABC and PQR respectively where ΔABC ∼ ΔPQR prove that AB/PQ = AD/PM. October 5, 2020 Category: Chapter 6 - Triangles , Maths , NCERT Class [...]

A vertical pole of a length 6 m casts a shadow 4m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower. A vertical pole of a length 6 m casts a shadow 4m long on the ground and at the same [...]

Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Show that ΔABC ∼ ΔPQR. Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another [...]