Pythagoras' Theorem

Pythagoras' Theorem

100

What is the formula for Pythagoras' Theorem?

c² = a² + b²

 

200

Which side of the right triangle is the longest - a, b, or c?

c

300

What types of triangles does the Pythagorean Theorem work with?

Right-angled triangles only

400

What is the name of the side opposite the right angle?

Hypotenuse

500

If a triangle has the measurements of 3cm, 4cm, and 5cm, What is the length of the hypotenuse?

5cm

Squares and Square Roots

100

What is 12 squared? 

144

200

What is the square root of 49 km²?

7km

300

What is 20 cm squared?

400cm²

400

What is the square root of 100 sq. metres?

10m

500

what is 30 metres squared?

900m² 

Find the missing side

100

a=10, b=24, c=?

c = 26

200

Find x, if c= x, a= 36 and b = 37

x = 45

300

What is the length of the unknown side, to the nearest tenth, if the two shorter sides are 1.8 and 4?

4.4

400

a= ? , b=35, c=37

a = 12

500

If the two shorter sides of a right triangle are 4, what is the length of the third side, to the nearest tenth?

5.7

Past Paper Questions

100

Show past paper Q1

Distance from B to lighthouse = 886.2m

200

Show Past paper Q2

Area = 48m²

300

Show past paper Q3

Length = 902.4m

400

Show past paper Q4

Cost = £308

500

Show past paper Q5

cost = £128.40