Understanding Right Triangles and Decimals

The video tutorial revisits the concept of special numbers, comparing them with terminating and recurring decimals. It explains square roots, using mental math tricks to estimate their values. The lesson introduces Pythagoras's Theorem, highlighting its importance and application. Students engage in drawing right-angled triangles and measuring hypotenuses to understand the theorem's practical use.

What type of decimal stops after a certain number of digits?

• Whole number

• Recurring decimal

• Terminating decimal

• Irrational number

Which of the following is an example of a recurring decimal?

• 0.333...

• 0.5

• 0.75

• 0.25

How can you estimate the value of the square root of a number like 7 without a calculator?

• By dividing it by 2

• By using a ruler

• By comparing it to perfect squares

• By guessing

What is the square root of 4?

• 4

• 1

• 2

• 3

Which of the following numbers is between the square roots of 25 and 36?

• 4

• 5

• 6

• 7

What is the longest side of a right-angled triangle called?

• Diagonal

• Hypotenuse

• Height

• Base

In a 3-4-5 triangle, what is the length of the hypotenuse?

• 5

• 4

• 3

• 6

What is the purpose of Pythagoras's Theorem in geometry?

• To calculate the area of a triangle

• To find the length of the hypotenuse

• To measure angles

• To determine the perimeter

Which of the following sets of numbers can form a right-angled triangle?

• 2, 3, 4

• 5, 12, 13

• 6, 8, 10

• 7, 24, 25

What is the hypotenuse of a triangle with sides 8 cm and 15 cm?

• 17 cm

• 18 cm

• 16 cm

• 19 cm