Area of a Triangle In this lesson we will learn, how to calculate the area of a triangles with different formula’s. When given 1. The base and height of a triangle.2. Two sides and one angle.3. The length of three sides.4. An equilateral triangle. First we see about a triangle. A triangle is a simple […]
Read More →Parallelograms on the same base and between the same parallels are equal in area. Given: Two parallelograms ABCD and EFCD, are on the same base DC and between the same parallel lines AF and DC. To prove: area (∥gm ABCD) = area (∥gm EFCD) Proof: In △ AED and △ BFC BC ∥ AD and AF is a transversal.So, ∠DAE = ∠CBF …..(1) (Corresponding angles of […]
Read More →Congruent triangles Worksheet Problems and Solutions Example : (1) In figure if AD = CD and AB = CB. (i) Find the three pairs of equal parts in △ABD and △CBD. (ii) Is △ABD ≅ CBD ? Why or why not? (iii) Does BD bisect ∠ABC? give reason. Solution : (i) In △ABD and △CBD, three pairs of equal parts […]
Read More →A diagonal of a parallelogram, divides it into two congruent triangles. Given: A parallelogram ABCD and AC is a diagonal, the diagonal AC divides parallelogram ABCD into two triangles △ ABC and △ CDA. To prove: These triangles △ ABD and △CDA are congruent, △ ABC ≅ △ CDA Proof: In △ ABC and △ CDA BC ∥ AD and AC […]
Read More →In a parallelogram opposite sides are equal. Given: A parallelogram ABCD, each pair of Opposite sides of parallelogram are side AB and side DC and side AD and side BC. To prove: Opposite sides of parallelogram are equal that is AB = DC and AD = BC Construction: Join A to C that is AC, is a diagonal, the diagonal AC […]
Read More →Circumscribes and Inscribed Circles Circumscribed Circle The circumscribed circle is one and only one circle that always passes through all three vertices (corners) of the triangle. The center of the circumscribed circle is a point where all the three perpendicular bisectors of the triangles sides are meet. The center of the circumscribed circle is known ascircumcenter of the triangle. […]
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