0 Deepak Bora Asked: July 10, 20202020-07-10T20:08:21+05:30 2020-07-10T20:08:21+05:30In: CBSE Triangles : The lengths of the diagonals of a rhombus are 24 cm and 32 cm. Calculate the length of the altitude of the rhombus. 0 The lengths of the diagonals of a rhombus are 24 cm and 32 cm. Calculate the length of the altitude of the rhombus. diagonalslength of altitudencert questionsrhombus Share Facebook Related Questions Prove that: (secθ+tanθ)/(secθ-tanθ) = (secθ+tanθ)² = 1+2tan²θ+2secθtanθ Prove that: (cosecθ + cotθ)/(cosecθ - cotθ) = (cosecθ + cotθ)² = 1 + 2cot²θ + 2cosecθcotθ Prove that: (1+cosθ-sin²θ)/sinθ(1+cosθ) = cotθ Prove that: (sinθ+cosθ)/(sinθ-cosθ) + (sinθ-cosθ)/(sinθ+cosθ) = 2/(1-2cos²θ) Prove that: (sinθ-cosθ)/(sinθ+cosθ) + (sinθ+cosθ)/(sinθ-cosθ) = 2/(sin²θ-1) 1 Answer Voted Oldest Recent Deepak Bora 2020-07-13T12:49:41+05:30Added an answer on July 13, 2020 at 12:49 pm This answer was edited. The diagonals of a rhombus bisect each-other at right angles,with the side of the rhombus being the hypotenuse . Half the lengths of the diagonals AO = 12 cm , BO= 16 cm. and the hypotenuse(AB) in right triangle ABO in rhombus ABCD. Using Pyhagoras Theorem for the right-angled triangle ABO, h² = 12² + 16² = 400. ∴ The length of the side of the rhombus is 20 cm. area of a rhombus = ½×d1×d2 are of a rhombus= base × height ∴ comparing both formulas ½×24×32 = 20×h (base is side of the rhombus) ∴ h= 19.2 cm. 1 Reply Share Share Share on Facebook Share on Twitter Share on LinkedIn Share on WhatsApp Leave an answerLeave an answerCancel reply Featured image Select file Browse Add a Video to describe the problem better. Video type Youtube Vimeo Dailymotion Facebook Choose from here the video type. Video ID Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs". Click on image to update the captcha. Save my name, email, and website in this browser for the next time I comment.