Математика22 мин
Triangles
Pythagoras, congruence/similarity rules, special right triangles, and triangle inequality.
01
Pythagoras and special triangles
| Triangle | Side ratios |
|---|---|
| 45-45-90 | |
| 30-60-90 | |
| 3-4-5 | (Pythagorean triple) |
| 5-12-13 |
Memorise both special-angle ratios. They unlock most NUET trig problems without a calculator.
02
Congruence and similarity rules
- **Congruent**: SSS, SAS, ASA, RHS (right-angle, hypotenuse, side).
- **Similar**: AA (two angles equal), SSS proportional, SAS proportional.
- Triangle inequality: each side < sum of the other two.
Жаттығу
A triangle has sides 5, 12, . What integer values of are possible?
Жауап пен түсініктемені көру
Жауап: (integers)
, so . Integers: 8 to 16.