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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.

Area of Triangles Warmup

         

A triangle has an area of 20 square units. Which set of values could NOT represent the base and height?

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.

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?

An equilateral triangle has a base length of 4. What is its area?

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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