GCSE Secondary Maths Age 13-17 - Algebra: Solving Equations - Explained

The video tutorial explains how to solve a problem involving an isosceles right triangle with a given area of 162 cm². The instructor demonstrates how to calculate the area using the formula for a triangle and solve for the variable X. The process involves setting up an equation, isolating X, and verifying the solution. The tutorial emphasizes the importance of understanding the problem, using the correct formula, and checking the final answer. It also highlights the marks allocation for the question, providing insights into exam strategies.

What type of triangle is ABC, and why is this information crucial for solving the problem?

• Obtuse triangle, because it has an angle greater than 90 degrees.

• Isosceles right-angled triangle, because it has two equal sides and a right angle.

• Scalene triangle, because all sides are different.

• Equilateral triangle, because all sides are equal.

What is the formula used to calculate the area of a triangle?

• Base multiplied by height divided by two.

• Base multiplied by height.

• Base minus height.

• Base plus height divided by two.

How is the expression for the area of the triangle derived in this problem?

• By subtracting the base from the height.

• By dividing the base by the height.

• By multiplying the base and height and dividing by two.

• By adding the base and height.

What is the first step in solving the equation for X?

• Multiply both sides by 2.

• Add 9 to both sides.

• Subtract 2 from both sides.

• Divide both sides by 9.

What is the final value of X after solving the equation?

• 5

• 7

• 6

• 4