The length of the diagonal of a square is 6 cm.
(a): find it's area
(b): write the relation between the length of the diagonal of a square (d) and its area (A).
(c): is this relation proportional? if so what is the proportional constant?
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a)
diagonal = 6cm
area of square = 1/2 x diagonal ²
= 1/2 x 6²
= 36/2 = 18
= 18cm²
b)
using Pythagoras theorem
side² + side² = diagonal ²
diagonal = side√2 is the required relation.
c) No relation is not proportional.
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