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primary 5 | Maths
| Angles & Geometry
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= 0.5 x AG x 30
= 15 x AG
triangle ADE = 0.5 x AD x DC
= 0.5 x 24 x 24 = 288
15 x AG = 288
AG = 19.2 cm
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Dotted line = DC = 24 since it is square.
(Triangle Area = 1/2 x base x height. Base and height should be perpendicular, 90deg) Hope this clear your doubts.
Yellow line = AG. Where you can find Length AG.
1/2 x base x perpendicular height
Note the word “perpendicular”. That is, the height chosen must be at right angles (90 degrees) to your chosen base. Lengths DE and AD are not at 90 degrees to each other considering that ABCD is a square.
So it is obviously not 1/2 x AD x DE.
AC Lim’s workings are fully correct.