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Question 3 - Figure it out - Page 52, 53, 54 - Chapter 2 Class 8 - The Baudhayana-Pythagoras Theorem (Ganita Part 2)
Last updated at August 14, 2026 by Teachoo
Ganita Prakash Class 8 - Part 1, 2
Chapter 2 Class 8 - The Baudhayana-Pythagoras Theorem (Ganita Part 2)
- Doubling a square
- Halving a square
- Hypotenuse of an Isosceles Right Triangle
- Decimal Representation of โ2
- Figure it out - Page 39, 40
- Formula for Hypotenuse of an Isosceles Right Triangle
- Combining Two squares
- Baudhฤyanaโs Theorem on Right-angled triangles
- Pythagorean triples
- Figure it out - Page 50
- A Long-Standing Open Problem
- Further Applications of the Baudhฤyana - Pythagoras Theorem
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Figure it out - Page 52, 53, 54
Transcript
Question 3 Find the sidelength of a rhombus whose diagonals are of length 24 units and 70 units.A rhombus is a quadrilateral with all sides equal And, its diaognals bisect each other at right angles Drawing figure Let Side of rhombus = a Since diagonals bisect at O OA = OC = ๐๐/๐ = 12 OB = OD = ๐๐/๐ = 35 Also, diagonals bisect at right angles โด โ AOB = โ BOC = โ COD = โ AOD = 90ยฐ Now, in right triangle โ AOB Hypotenuse = AB = a Base = OA = 12 Height = OB = 35 By Pythagoras theorem Hypotenuse2 = Base2 + Height2 AB2 = OA2 + OB2 a2 = 122 + 352 a2 = 144 + 1225 a2 = 1369 a = โ๐๐๐๐ a = โ(37^2 ) a = 37 Thus, sidelength of rhombus is 37 units
