Unit 5 Practice

Front

What is the formula for Heron's Area?

Back

Area = √(s(s-a)(s-b)(s-c)), where s = (a+b+c)/2.

Front

How do you find the component form of a vector given two points R(x1, y1) and S(x2, y2)?

Back

Vector RS = 〈x2 - x1, y2 - y1〉.

Front

What is the result of adding two vectors a = 〈x1, y1〉 and b = 〈x2, y2〉?

Back

a + b = 〈x1 + x2, y1 + y2〉.

Front

What is the definition of a vector?

Back

A vector is a quantity that has both magnitude and direction.

Front

What is the significance of the angle in a triangle?

Back

The angles in a triangle determine its shape and can be used to find unknown sides using trigonometric ratios.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180°.

Front

How do you calculate the area of a triangle using base and height?

Back

Area = 1/2 * base * height.

Front

What is Heron's formula used for?

Back

Heron's formula is used to calculate the area of a triangle when the lengths of all three sides are known.

Front

What does the term 'component form' refer to in vectors?

Back

Component form expresses a vector in terms of its horizontal and vertical components, typically written as 〈x, y〉.

Front

What is the formula to find the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).