Triangle Area Calculation Quiz

What are the two formulas for calculating the area of a triangle?

• B * H and a * B * C

• half * B * H and half * a * B * sin C

• B * H and a * B * sin C

• half * B * H and a * B * C

In the formula half * B * H, what does 'H' represent?

• The angle of the triangle

• The base of the triangle

• The vertical height of the triangle

• The hypotenuse of the triangle

When is it more appropriate to use the formula half * a * B * sin C?

• When the base and height are known

• When the height is unknown but two sides and the angle between them are known

• When the triangle is equilateral

• When only the base is known

What is the area of a right-angled triangle with a base of 9 cm and a height of 12 cm?

• 54 square cm

• 108 square cm

• 72 square cm

• 36 square cm

How do you find the missing side in a right-angled triangle using Pythagoras's Theorem?

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

• a^2 + c^2 = b^2

• a^2 = b^2 + c^2

What is the sum of angles in a triangle?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

If two angles in a triangle are 32° and 45°, what is the third angle?

• 60°

• 45°

• 90°

• 103°

Which formula would you use for a scalene triangle with known side lengths and an angle between them?

• half * a * B * sin C

• B * H

• a * B * C

• half * B * H

What is the area of a triangle with sides 8 cm, 6 cm, and an angle of 103° between them?

• 48 square cm

• 56 square cm

• 23 square cm

• 36 square cm

What is the key requirement for using the formula half * a * B * sin C?

• Knowing two sides and the angle between them

• Knowing the hypotenuse

• Knowing all three sides

• Knowing the base and height