Pythagoras Year 9 Math

Formula's

100

What is the formula for finding the long side of Pythagoras Theorem?

a² + b² = c²

200

What is the formula for finding a?

c² - b² = a²

300

What formula would you use if c = 6cm, a = 2cm and b = ?

c² - a² = b²​​​​

400

What sides are connected to the right angle?

Side a and b

500

What side is also known as the hypotenuse? 

C

Square Numbers

100

What is 5²?

25

200

12² = ?

144

300

2.9² = ?

8.41

400

114.92² = ?

13,206.6

500

Find 360.542² and round to one decimal place.

129,990.5

Square Roots

100

What is the square root of 49?

7

200

What is the square root of 100?

10

300

What is the square root of 240 and round to one decimal place?

15.5

400

What is the square root of 130 and round to one decimal place?

11.4

500

What is the square root of 1137 and round to two decimal place?

33.72

Short Side

100

If c = 5cm and b = 3cm, what is a?

4cm

200

If c = 8 and a = 4, what is b? Round to 1 decimal place.

6.9

300

If c = 12cm and a = 2cm, what is b? Round to 1 decimal place.

11.8cm

400

If c = 10cm and a = 3cm, what is b? Round to one decimal place.

9.5cm

500

What is wrong with the following equation. c = 13cm, a = 5cm, what is b?

c² - b²= a²

13² - 5² = a

25 - 169 = a²

Sqaure Root 144 = a

a = 12

- The formula.

- The a is not squared in the second row.

- The 25 and 169 are swapped.

- Forgot the units

Long Side

100

If a = 2 and b = 3, what is c? Round to 1 decimal place.

3.6

200

If a = 4cm and b = 5cm, what is c? Round to 1 decimal place.

6.4cm

300

If a = 10cm and b = 6cm, what is c? Round to 1 decimal place.

11.7cm

400

If a = 20mm and b = 7cm, what is c? Round to 1 decimal place.

7.3cm

500

What is wrong with the following equation. a = 40mm, b = 9cm, what is c?

a² + b² = c²

40² + 9² = c

1600 + 81 = c

Sqaure Root 1681 = a

c = 41cm

- Didn't convert measurements to be the same.

- Forgot to continue c² in line 2 and 3.

- Square Root line = a when it's meant to be c.

- Answer wrong