Geometry

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 = $$\frac{1}{2}ab \sin{C}.$$ In the formula, $$a$$ and $$b$$ are the adjacent sides to any angle angle $$C$$ of the triangle.

If $$\text {sin }\angle HUT$$ is $$\frac{1}{2},$$ what is the area of $$\triangle HUT?$$

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