Area of Triangles and Formulas

The video tutorial explains how to calculate the area of a triangle. It starts with the formula for right-angle triangles, A = ½ x b x h, and discusses its limitations for non-right angle triangles. The instructor introduces a new formula, A = ½ x a x c x sin(C), suitable for non-right angle triangles, and demonstrates its application with an example. The tutorial concludes with a calculation showing the area of a triangle with given side lengths and angle, resulting in an area of 14 cm². Additional resources and subscription information are provided at the end.

What is the formula for the area of a right-angle triangle?

• A = a x b x c

• A = ½ x a x c

• A = b x h

• A = ½ x b x h

Tags

CCSS.6.G.A.1

Why can't the formula A = ½ x b x h be used for the given triangle?

• Because the triangle is not a right-angle triangle

• Because the base is not given

• Because the height is not given

• Because the triangle is not an equilateral triangle

Tags

CCSS.HSG.SRT.D.9

What is the new formula introduced for non-right-angle triangles?

• A = ½ x a x c x sin A

• A = ½ x a x b x sin C

• A = a x b x sin C

• A = ½ x a x c x sin B

Tags

CCSS.HSG.SRT.D.9

In the new formula A = ½ x a x c x sin B, what does 'a' represent?

• The length of the hypotenuse

• The length of the side opposite angle A

• The length of the side opposite angle B

• The length of the side opposite angle C

Tags

CCSS.8.G.B.8

What are the given values for 'a' and 'c' in the example?

• 6 cm and 7 cm

• 8 cm and 6 cm

• 7 cm and 8 cm

• 8 cm and 7 cm

Tags

CCSS.4.G.A.1

What is the given angle in the example?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

Tags

CCSS.HSG.SRT.C.7

What is the value of sin 30 degrees?

• 0.707

• 0.866

• 0.5

• 1

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

What is the product of ½ x 8 x 7?

• 21

• 14

• 56

• 28

Tags

CCSS.6.G.A.1

What is the final area of the triangle ABC?

• 14 cm²

• 7 cm²

• 28 cm²

• 56 cm²

Tags

CCSS.3.MD.C.6

Why is it important to include 'cm squared' in the final answer?

• Because it represents the area

• Because it represents the volume

• Because it represents the length

• Because it represents the perimeter

Tags

CCSS.3.MD.C.6