Area of A Triangle (p3)

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height

Front

Define 'base' in the context of a triangle.

Back

The base of a triangle is any one of its sides, typically the one on which the triangle is considered to be standing.

Front

Define 'height' in the context of a triangle.

Back

The height of a triangle is the perpendicular distance from the base to the opposite vertex.

Front

What is the area of a triangle with a base of 10 units and a height of 5 units?

Back

Area = 1/2 * 10 * 5 = 25 units²

Front

If the base of a triangle is doubled, how does that affect the area?

Back

The area of the triangle will also double, assuming the height remains the same.

Front

If the height of a triangle is halved, how does that affect the area?

Back

The area of the triangle will be halved, assuming the base remains the same.

Front

What is the area of a triangle with a base of 8 units and a height of 6 units?

Back

Area = 1/2 * 8 * 6 = 24 units²

Front

How do you find the area of a triangle when only the lengths of all three sides are known?

Back

Use Heron's formula: Area = √[s(s-a)(s-b)(s-c)], where s = (a+b+c)/2.

Front

What is Heron's formula?

Back

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

Front

What is the area of a triangle with sides of lengths 7, 8, and 9 units?

Back

Using Heron's formula, Area = √[12(12-7)(12-8)(12-9)] = √[12*5*4*3] = 84 units².