Scaling the right-angled triangle from the unit circle

12 questions

1. 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.)
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.)
3. 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.)
4. 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.)
5. Would a right triangle ABC with side AB = 24cm, and hypotenuse AC = 30cm be similar to the one shown in the diagram?
6. For this pair of triangles, can you determine whether they are similar without using side lengths?
7. Which letter represents the opposite side to the non-right angle shown in the diagram?
8. Which letter represents the opposite side to the non-right angle shown in the diagram?
9. Using ABCD, which side would represent the opposite if we were using angle CBD?
10. Assuming the two triangles are similar and all measures are in cm, if length AB is 9 what is length BC?
11. Assuming the two triangles are similar and all measures are in cm, if length AB is 11 what is length AC?
12. Assuming the two triangles are similar and all measures are in cm, if length BC is 3.6 cm what is length AB?

License: OGL