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Area of Triangles
You know that Area = base x height / 2, but what other ways are there to find the area of a triangle? Brace yourself for some potent formulae.
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Which has the greater area:
A: A square with side lengths of \(x.\)
B. A triangle with base length \(x\) that is twice as tall as it is wide.
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Shayna draws triangle \(P\) with a base and a height greater than one. She triples the base length and halves the height to get triangle \(Q.\) Which triangle has greater area?
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One way to find the area of a triangle is to use the Sine Rule: Area = \(\frac{1}{2}ab \sin{C}.\) If \(\text {sin }\angle HUT\) is \(\frac{1}{2},\) what is the area of \(\triangle HUT?\)
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