Scaling the right-angled triangle from the unit circle | Maths

Starter quiz

In a right triangle, if the hypotenuse is 39 cm and a second side is 15 cm, what is the area? (Use a calculator to help you.)
- $270 cm^2$ ✓
- $280 cm^2$
- $294 cm^2$
In a right triangle, if the hypotenuse is 125 cm and a second side is 75 cm, what is the length of the third side? (Use a calculator to help you.)
- $82 cm$
- $100 cm$ ✓
- $96 cm$
In a right triangle, if the hypotenuse is 22.5 cm and a second side is 13.5 cm, what is the perimeter? (Use a calculator to help you.)
- $54 cm$ ✓
- $56 cm$
- $58 cm$
In a right triangle, if the shortest sides are 22.5 cm and 30 cm, what is the length of the hypotenuse? (Use a calculator to help you.)
- $40.5 cm$
- $37.5 cm$ ✓
- $39.5 cm$
Would a right triangle ABC with side AB = 24cm, and hypotenuse AC = 30cm 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, they are not similar in this case as their angles are different. ✓
- No because you only know two angles.
- No, because you always need a side and two angles.