Mathematics Question and Solution
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Calculating length DG.
Let x be the side length of the square.
Let h be the height of triangle ADG.
Let a be the height of triangle CDG.
It implies;
½(xh ) = 18
xh = 36 cm²
Observing Similar Plane Shape Rule.
Consider triangle CDG and height a.
h ~ a
a ~ (x-h)
Cross Multiply.
a² = xh-h²
And xh = 36 cm²
a² = 36-h²
a²+h² = 36
Length DG is;
Notice.
a²+h² = (DG)²
It implies;
(DG)² = 36
DG = √(36)
DG = 6 cm.
