The sides of a triangle are 35 cm, 54 cm and 61 cm, respectively. The triangular side walls of a flyover have been used for advertisements. Also find the value of y. Therefore, the fourth vertex, D is (3, 5). Area of the rhombus = ½ (Product of diagonals) CBSETuts.com provides you Free PDF download of NCERT Exemplar of Class 9 Maths Chapter 12 Heron’s Formula solved by expert teachers as per NCERT (CBSE) Book guidelines. IXL offers hundreds of Precalculus skills to explore and learn! Question 8: Area of regular hexagon of side a = Sum of area of the six equilateral triangles. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. [∴ area of a rectangle = length x breadth] Area of an equilateral triangle = √3/4 (Side)2 Obtain the required length of the altitude. A field in the form of a parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long. = ½ (OS x PR) =½ x 12 x 16 = 96 cm2. Thinking Process Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. All the solutions of Coordinate Geometry - Mathematics explained in detail by experts to help students prepare for their ICSE exams. Hence midpoint of BD = midpoint of AC Midpoint of line segment joining the points and is 4 + x = 7 and and 3 + y = 8 and y = 5 CBSETuts.com provides you Free PDF download of NCERT Exemplar of Class 9 Maths Chapter 12 Heron’s Formula solved by expert teachers as per NCERT (CBSE) Book guidelines. Solution: Question 4: Area of an equilateral triangle = √3/4 (side)2 Leonhard Euler (/ ˈ ɔɪ l ər / OY-lər; German: (); 15 April 1707 – 18 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology … Find the height OF of the parallelogram. The base and the corresponding altitude of a parallelogram are 10 cm and 3.5 cm, respectively. If you are on a personal connection, like at home, you can run an anti-virus scan on your device to make sure it is not infected with malware. Thinking Process = 180 cm2 …(ii) 2.16                (c) Rs. Hence, the mid-points of the sides of a triangle ABC along with any of the vertices as the fourth point make a parallelogram of area equal to half the … Solution: Let A (3, 4), B (3, 8) and C (9, 8) be the given points. The cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of Rs. 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