ABCD is a rhombus. M is the midpont. AC =16cm. AD=10cm.find the length of AM. Find the length of AB
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AB = 10 cm & AM = 8 cm if ABCD is a rhombus. M is the midpoint of AC =16cm. AD=10 cm
Step-by-step explanation:
ABCD is a rhombus
Hence all sides are equal
=> AB = BC = CD = AD
AD = 10 cm
=> AB = 10 cm
M is the mid point of AC
AC = 16 cm
=> AM = AC/2 = 16/2 = 8 cm
AM = 8 cm
to find BM
(diagonals of rhombus bisect each other perpendicularly)
BM² = AB² - AM²
=> BM² = 10² - 8²
=> BM² = 36
=> BM = 6 cm
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