Solution : The value of sin 0 degrees is equal to 0. Proof : \(\angle\) A is made smaller and smaller in the right \(\Delta\) ABC till it becomes zero. As \(\angle\) A gets smaller and smaller the length of the side BC decreases. The point C gets closer to the point B and finally …
Definition : Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle. This is Known as SAS Congruency. For given two triangles, AB = XZ , \(\angle\) A = \(\angle\) X and AC = XY, then using …
Definition : If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent. This is Known as RHS Congruency. For given two right angle triangles, hypotenuse AC = hypotenuse XZ , BC = YZ and …
What is RHS (Right angle Hypotenuse Side) Congruence Rule ? Read More »
Definition : If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent. This is Known as SSS Congruency. For given two triangles, AB = XZ , AC = XY and BC = YZ, then using SSS rule, \(\Delta\) ABC ≅ \(\Delta\) XYZ. Similar Questions …
Definition : Two triangles are congruent if any two pairs of angles and one pair of corresponding sides are equal. This is Known as AAS Congruency. For given two triangles, \(\angle\) A = \(\angle\) X and \(\angle\) C = \(\angle\) Y, AB = XZ , then using AAS rule, \(\Delta\) ABC ≅ \(\Delta\) XYZ. Similar Questions …
What is AAS (Angle Angle Side) Congruence Rule ? Read More »
Definition : Two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of other triangle. This is Known as ASA Congruency. For given two triangles, AB = XZ , \(\angle\) A = \(\angle\) X and \(\angle\) B = \(\angle\) Z, then using …
What is ASA (Angle Side Angle) Congruence Rule ? Read More »
Solution : Circumradius Formula (R) = \(abc\over 4\Delta\) where R = radius of circumcircle described about a given triangle with sides a, b, c. \(\Delta\) = \(\sqrt{s(s – a)(s – b)(s – c)}\) and s = \(a + b + c\over 2\) where a, b and c are the sides of triangle.
Solution : Inradius Formula (r) = \(\Delta\over s\) Where r = radius of the circle inscribed in a given triangle \(\Delta\) = area of the given triangle \(\Delta\) = \(\sqrt{s(s – a)(s – b)(s – c)}\) s = half perimeter of the given triangle s = \(a + b + c\over 2\) for all a, …
Solution : Here radius = 10 cm We know that the surface area of hemisphere = \(3 \pi r^2\) = \(3 \times 3.14 \times 10 \times 10\) = 942 \(cm^2\)
Question : In a marriage ceremony of her daughter Poonam, Ashok has to make arrangements for the accommodation of 150 persons. For this purpose, he plans to build a conical tent in such a way that each person has 4 sq. meters of the space on ground and 20 cubic meters of air to breath. …
