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parane0 ABCD is a parallelogram whose diagonals intersect each other at right angles. Ifthe length of the diagonals is 6 cm and 8 cm, find the lengths of all the sides ofthe parallelogram. |
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Answer» ABCD is a parallelogram whose diagonals intersect each other at O with 90°.so it's a rhombus as diagonals of rhombus interest each other at right angles. diagonal1 (AC) = 6cmdiagonal 2(BD) = 8cm OD = OB = 3cm eachOA = OC = 4cm each Let, us take triangle AOBit is a right angled triangle => (OA)² + (OB)² = (AB)² => (4)² + (3)² = (AB)² => 16 + 9 = (AB)² => 25 = (AB)² => = AB => 5 = AB So, AB = 5cmAB = BC = CD = AD (all sides of rhombus are equal) Each side of the parallelogram ABCD is 5cm. hit like if you find it useful |
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