draw a rhombus ABCD if AC=6cm and AB=5cm.find the length of BD
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Rhombus ABCD is constructed in which AC - 6 cm & AB = 5 cm & length of BD found to be 8 cm
Step-by-step explanation:
A rhombus has all its sides equal
AB = BC = CD = AD = 5 cm
Step 1 : Draw a line segment AB = 5 cm
Step 2 : Using Compass Taking width 6 cm Draw an arc taking A as center
Step 3 : Using Compass Taking width 5 cm Draw an arc taking B as center such that it intersect arc drawn in step 2 at C
Step 4 : Join BC
Step 5 : Using Compass Taking width 5 cm Draw an arc taking A as center
Step 6 : Using Compass Taking width 5 cm Draw an arc taking C as center such that it intersect arc drawn in step 5 at D
Step 7 : Join AD & CD
Rhombus ABCD is constructed in which AC - 6 cm & AB = 5 cm
on Measurement BD found = 8 cm
Diagonal of Rhombus perpendicularly bisect Eact each other
let say AC & BD intersected at O
AO = OC = AC/2 = 6/2 = 3 cm
AO² + BO² = AB²
=> 3² + BO² = 5²
=> BO² = 16
=> BO = 4 cm
BC = 2 BO = 2 * 4 = 8 cm
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