Triangles | Pythagoras Theorem Theorem: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Given: A right triangle ABC, right angled at B To prove: Construction: Draw BD ^ AC Proof:     In DADB and DABC, we have ÐADB = ÐABC                    [Each equal to 90°] ÐA…

Similar Triangles | Areas of Similar Triangles Theorem: The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. Given: DABC and DPQR such that DABC ~ DPQR. To prove: Construction: Draw AD ^ BC and PS ^ QR Proof:     [ Area of triangle base ´ height]…