GCSE Maths - Pythagoras' Theorem And How To Use It #120

The video tutorial explains how to use Pythagoras theorem to find the missing length of a right triangle. It covers the conditions for applying the theorem, such as the presence of a right angle and knowing two side lengths. The tutorial provides step-by-step examples, demonstrating how to label sides, set up the equation, and solve for the unknown side using a calculator. It also clarifies how exam questions might label triangle corners and how to interpret them.

What is the primary condition for using Pythagoras' theorem?

• The triangle must be isosceles.

• The triangle must have all sides equal.

• The triangle must have a right angle.

• The triangle must be equilateral.

In the Pythagorean theorem, what does the letter 'c' represent?

• Any side of the triangle.

• The hypotenuse, the longest side.

• The side opposite the smallest angle.

• The shortest side of the triangle.

How do you solve for the hypotenuse using the Pythagorean theorem?

• Divide the square of one side by the other.

• Subtract the squares of the two known sides.

• Add the squares of the two known sides and take the square root.

• Multiply the two known sides and take the square root.

When solving for an unknown side using a calculator, what is the best approach?

• Input the entire equation into the calculator at once.

• Add the numbers first and then square the result.

• Calculate each square separately and then add.

• Guess the answer and check if it fits.

What should you do if the triangle's vertices are labeled in an exam question?

• Use the labels to determine the hypotenuse.

• Ignore the labels and focus on the side lengths.

• Change the labels to a, b, and c.

• Use the labels to solve the equation.

In a triangle with sides 5.6 and 10.5, what is the length of the hypotenuse?

• 12.5 cm

• 13.0 cm

• 10.0 cm

• 11.9 cm

If a triangle has sides labeled as 8 and 11, what is the length of the hypotenuse?

• 12.5 cm

• 14.0 cm

• 15.0 cm

• 13.6 cm