Chapter 6: The Triangle and its Properties

Questions

1. Right triangle legs $9, 12$: hypotenuse?
2. Two angles are $50^\circ$ each; find the third.
3. Can sides $3, 4, 8$ form a triangle?
4. Angles of triangle are $50^\circ, 60^\circ, x$: find $x$.
5. Right triangle legs $6, 8$: hypotenuse.
6. Exterior angle $110^\circ$; one remote interior $50^\circ$: other.
7. Median of a triangle joins?
8. Sides $3, 4, 8$: can they form a triangle?
9. Equilateral triangle — each angle?
10. Isosceles: two sides $= 10$, base $= 12$: perimeter.

Extra Practice (Optional)

• Is $(8, 15, 17)$ a Pythagorean triple?
• Third side range for sides $5$ and $9$.
• Third angle of a right isosceles triangle.