Question
Download Solution PDFABCD is a parallelogram in which AB = 7 cm, BC = 9 cm and AC = 8 cm. What is the length (in cm) of other diagonal?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFBy parallelogram Formula of diagonals,
AC2 + BD2 = 2 (AB2 + BC2)
⇒ 82 + BD2 = 2 (72 + 92)
⇒ 64 + BD2 = 2 (49 + 81) = 260
⇒ BD2 = 260 – 64 = 196
⇒ BD = 14 cm
∴ The length of other diagonal = 14 cm
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