a rhombus with side 10 metre has one diagonal of length 16 metre find the length of the Other diagonal and its area
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Answer:
96 cm^2.
Step-by-step explanation:
Diagonals of a rhombus bisect each other at right angles.
let ABCD be the rhombus diagonals AC = 16 cm and side ab = 10 cm
since In right triangle aob,ab = 10 cm, ao = 8 cm
By Pythagoras theorem, AB^2
AO^2 + BO^2
(10)^2 = (8)^2 + Bo^2
BO^2 = (8)^2 + (8)^2
BO = 6 cm
since diagonal bd = 2*6 = 12 cm
Area of rhombus = 1/2* product of the diagonal
=1/2* 16* 12
= 96 cm^2
hence length of other diagonal = 12 CM , area of rhombus 96 CM^2
this is your answer........... Salmønpanna
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