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CBSE Class 10 Answered

Instead of walking along two adjacent sides of a rectangular field, a boy took a shortcut along the diagonal of the field and saved a distance equal to 1/2 of the longer side. What is the ratio of the shorter side of the rectangle to the longer side?
Asked by Sthitaprajna Mishra | 24 Jul, 2014, 03:41: PM
answered-by-expert Expert Answer
C o n s i d e r space t h e space f o l l o w i n g space f i g u r e.
G i v e n space t h a t comma z equals x plus y minus y over 2 equals x plus y over 2.... left parenthesis 1 right parenthesis F r o m space t h e space r i g h t space t r i a n g l e comma space A B C comma space b y space P y t h a g o r a s space T h e o r e m comma space w e space h a v e comma z squared equals x squared plus y squared.... left parenthesis 2 right parenthesis S u b s t i t u t i n g space t h e space v a l u e space o f space z space f r o m space e q u a t i o n space left parenthesis 1 right parenthesis comma space i n space e q u a t i o n space left parenthesis 2 right parenthesis comma space w e space h a v e comma open parentheses x plus y over 2 close parentheses squared equals x squared plus y squared rightwards double arrow x squared plus y squared over 4 plus 2 cross times x cross times y over 2 equals x squared plus y squared rightwards double arrow y squared over 4 plus x cross times y equals y squared rightwards double arrow x y equals y squared minus y squared over 4 rightwards double arrow x y equals fraction numerator 3 y squared over denominator 4 end fraction rightwards double arrow x equals fraction numerator 3 y over denominator 4 end fraction rightwards double arrow x over y equals 3 over 4
Answered by Vimala Ramamurthy | 25 Jul, 2014, 10:53: AM

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CBSE 10 - Maths
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CBSE 10 - Maths
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Two angles of a triangle are 70° and 80° The vertices of the triangle are on a circle of radius 3.5cm construct the triangle.
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CBSE 10 - Maths
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Asked by arindeep.singh | 05 Sep, 2020, 10:34: PM
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CBSE 10 - Maths
Using Basic Proportionality Theorem, prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. [NCERT]
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Asked by kundanstm3963 | 26 Apr, 2020, 09:27: PM
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CBSE 10 - Maths
what is Thales therom
Asked by sharmaanjali06959 | 20 Dec, 2019, 09:00: PM
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CBSE 10 - Maths
in the figure, if de parallel bc and ad = 4x -3 ae = 8x -7 , bd = 3x- 1 and ce = 5x -2fi x.d--
Asked by manshisinha117 | 12 Nov, 2019, 04:51: PM
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CBSE 10 - Maths
In the figure of ∆ABC ,DC ||AB. If AD = 2x ,DC = X +3, BC = 2x-1 and CE =X, then find the value of X.
Asked by sumitkain2016 | 26 Feb, 2019, 01:21: PM
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CBSE 10 - Maths
In three line segments OA, OB and OC,points L,M,Nrespectively are so shosen that LM ll AB and MN ll BC but neither of L, M nor of A,B,C are collinear. Show that LN ll AC.
Asked by gpnkumar0 | 07 Mar, 2018, 09:37: PM
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CBSE 10 - Maths
E and F are points on the sides PQ and PR respectively of a PQR.  State whether EF || QR. PE = 3.9cm, EQ = 3cm, PF =3.6cm and FR = 2.4cm.
Asked by Topperlearning User | 26 Jul, 2017, 01:40: PM
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