Find the area of a rhombus whose side 6.5cm and altitude is 5 cm . If one of its diagonal is 13cm long,find the length of other diagonal.
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base = 6.5 cm
altitude = height = 5 cm
area of rhombus = b × h
= 6.5 cm × 5 cm
= 32.5cm^ 2
one diagonal d1 = 13 cm
other diagonal d2 = ?
another formula for area of rhombus = 1/2×d1×d2
32.5 cm^ 2 = 1/2× 13×d2
d2 = 32.5× 2/13
d2 = 65/13
d2 = 5 cm
so the other diagonal is 5 cm
altitude = height = 5 cm
area of rhombus = b × h
= 6.5 cm × 5 cm
= 32.5cm^ 2
one diagonal d1 = 13 cm
other diagonal d2 = ?
another formula for area of rhombus = 1/2×d1×d2
32.5 cm^ 2 = 1/2× 13×d2
d2 = 32.5× 2/13
d2 = 65/13
d2 = 5 cm
so the other diagonal is 5 cm
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