GCSE Secondary Maths Age 13-17 - Algebra: Area of a Triangle - Explained

The video tutorial explains how to solve for x in a triangle problem using trigonometry and algebra. It starts by setting up the problem with given measurements and angles, then uses the sine rule for the area of a triangle to form an equation. The tutorial proceeds to solve a quadratic equation using the quadratic formula, providing a step-by-step guide to reach the final answer. The importance of understanding the formulas and practicing similar problems is emphasized, with a breakdown of the marking scheme for the question.

What is the given angle in triangle ABC?

• 90 degrees

• 45 degrees

• 30 degrees

• 60 degrees

Which formula is used to calculate the area of the triangle in this problem?

• a^2 + b^2 = c^2

• 1/2ab sine C

• Base times height divided by 2

• Perimeter divided by 2

What is the first step in solving the quadratic equation derived from the area formula?

• Factorize the equation

• Expand the brackets

• Add 24 to both sides

• Divide by the coefficient of x

What is the value of 'a' in the quadratic formula used in this problem?

• 5

• 27

• 2

• 1

Why is one of the solutions to the quadratic equation rejected?

• It is a complex number

• It is a negative value

• It is greater than 10

• It is not a real number

What is the final value of x rounded to three significant figures?

• 2.64

• 2.63

• 2.66

• 2.65

How many marks are awarded for correctly using the formula to solve the quadratic equation?

• Four marks

• Three marks

• Two marks

• One mark