Length of the hypotenuse

12 questions

1. Which of these sides is a hypotenuse?
2. The triangle formed from these three squares is right-angled. What is the value of n, where n units² is the area of a square.
3. If three squares with different areas are joined at their vertices, what type of triangle would be formed?
4. Angle a° is an acute angle, but is the largest angle in this triangle. Which of these are possible values of t, where t units² is the area of a square.
5. Which of these are true for the Pythagoras' theorem?
6. A right-angled triangle is formed from three squares. The area of two of the squares are 75 units² and 25 units². What are the possible areas of the third square?
7. The length of the hypotenuse for this right-angled triangle is ___ cm.
8. k cm² is the area of the square from the hypotenuse of the triangle. The value of k is ___.
9. Calculate the length of the hypotenuse of this triangle, in units.
10. The area, w, of the largest square in this diagram is ___ cm².
11. Calculate the length of the hypotenuse for this triangle. (Give your answer to 1 d.p.).
12. The length of the hypotenuse of this triangle, rounded to 1 d.p. is ___ cm.

License: OGL