Perimeter Calculation of a Geometric Shape

The video tutorial explains how to calculate the perimeter of a shape made from five right-angle triangles. It involves using trigonometry and Pythagoras theorem to find missing side lengths. The process includes identifying triangle properties, applying the sine function to find the hypotenuse, and using Pythagoras theorem to determine the short side. The final step is calculating the total perimeter and rounding the result to three significant figures.

What is the primary goal when calculating the perimeter of the shape made of triangles?

• To determine the length of one side

• To find the area of the shape

• To identify the type of triangles used

• To calculate the total distance around the shape

Which trigonometric function is used to find the hypotenuse in this problem?

• Cosine

• Secant

• Tangent

• Sine

What is the value of the hypotenuse calculated using the sine function?

• 12.8 cm

• 13.45871647 cm

• 9.29974436 cm

• 4.15897211097 cm

Which theorem is applied to find the short side of the triangle?

• Sine Rule

• Cosine Rule

• Tangent Rule

• Pythagoras' Theorem

What is the calculated value of the short side using Pythagoras' theorem?

• 4.15897211097 cm

• 13.45871647 cm

• 12.8 cm

• 9.29974436 cm

How is the final perimeter of the shape determined?

• By multiplying the length of one side by 5

• By adding the lengths of all sides

• By subtracting the short side from the hypotenuse

• By dividing the total length by 5

What is the final perimeter of the shape rounded to three significant figures?

• 115 cm

• 112 cm

• 110 cm

• 120 cm