Choosing an appropriate method for finding lengths of a triangle | Maths

Starter quiz

In a right triangle, if the hypotenuse is 40 cm and a second side is 32 cm, what is the length of the third side? (Use a calculator to help you.)
- 24 cm ✓
- 26 cm
- 22 cm
In a right triangle, if the shortest sides are 10 cm and 7.5 cm, what is the length of the hypotenuse? (Use a calculator to help you.)
- 12.5 cm ✓
- 11.5 cm
- 13.5 cm
Would a triangle ABC with sides AB = 9cm, BC = 7.5cm, AC = 12.5cm be similar to the one shown in the diagram?
- Yes
- No ✓
For this pair of triangles, can you determine whether they are similar without using side lengths?
- Yes, because their three angles correspond. ✓
- No because you only know two angles.
- No, because you always need a side and two angles.
In a right triangle, if the hypotenuse is 200 cm and a second side is 120 cm, what is the perimeter? (Use a calculator to help you.)
- 470 cm
- 492 cm
- 480 cm ✓
In a right triangle, if the hypotenuse is 30 cm and a second side is 18 cm, what is the area? (Use a calculator to help you.)
- $512 cm^2$
- $216 cm^2$ ✓
- $1028 cm^2$