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Construct a Rhombus Abcd with Sides of Length 5 Cm and Diagonal Ac of Length 6 Cm - Mathematics

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प्रश्न

Construct a rhombus ABCD with sides of length 5 cm and diagonal AC of length 6 cm. Measure ∠ ABC. Find the point R on AD such that RB = RC. Measure the length of AR. 

आकृति
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उत्तर

Steps of Construction: 

(i) Draw AC= 6 cm. 

(ii) With A as centre, draw two arcs of 5 cm on both sides of line AC. 

(iii) With C as centre, draw two arcs of 5 cm on both sides of line AC. 

(iv) All the arcs meet at Band D. Join AB, AD, BC and BD. ABCD is the required rhombus. 

(v) On measuring, ∠ ABC = 78>. 

(vi) Draw perpendicular bisector of BC meeting AD at R. R is the pdnt equidistant from Band C, hence RB = RC. 

(vii) On measuring, R = 1.2 cm 

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अध्याय 16: Loci - Exercise 16.1

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फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 16 Loci
Exercise 16.1 | Q 6

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