Geometry

Area of Triangles

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.x.

B. A triangle with base length xx that is twice as tall as it is wide.

Shayna draws triangle PP with a base and a height greater than one. She triples the base length and halves the height to get triangle Q.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 = 12absinC.\frac{1}{2}ab \sin{C}. In the formula, a a and b b are the adjacent sides to any angle angle C C of the triangle.

If sin HUT\text {sin }\angle HUT is 12,\frac{1}{2}, what is the area of HUT?\triangle HUT?

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