Problem solving with similarity and Pythagoras' theorem

12 questions

1. Alex rearranges a correct Pythagoras' theorem equation for a triangle. Which of these statements are correct?
2. The perimeter of this right-angled triangle is ___ cm.
3. Adhesive tape is placed along the two diagonals of this rectangular picture frame. How much adhesive tape is needed, rounded to the nearest cm? ___ cm of tape.
4. Andeep and Sofia need to split a 3.6 metre roll of adhesive tape in the ratio 7 : 5. The length of the adhesive tape that Andeep receives is ___ centimetres.
5. These two triangles are similar to each other. The side marked u cm is ___ cm long.
6. An isosceles triangle has an angle of 22°. Which of these are possible sizes of one of the other angles?
7. These two triangles are similar to each other and are both in the same orientation. The length of the hypotenuse marked h is ___ cm.
8. The area of this triangle is ___cm².
9. Which of these statements are correct for this triangle?
10. Which of these statements are correct for this triangle?
11. Each square is 1 unit in length. The shortest distance from point A to point B is ___ units (rounded to 2 d.p.).
12. Point C is at the coordinate (12, 3). The perimeter of a triangle whose vertices are at points A, B, and C is ___ units (to the nearest unit).

License: OGL