Across
- 9. In β΅πππ, let a, b, and c represent the lengths of the sides opposite β π, β π, and β π, respectively. Then ππππ/π’=ππππ/π£=ππππ/π€.
- 10. a set of three nonzero whole numbers a, b, and c, that satisfy the equation π’^π€+π£^π€=π€^π€.
- 11. the number x such that π’/πΉ=πΉ/π£, where a, b, and x are positive numbers.
- 12. In a right triangle, Length of side opposite to the angle/length of side adjacent to the angle.
- 13. a statement that two ratios are equal. An extended proportion is a statement that three or more ratios are equal.
- 14. the comparison of two quantities by division. An extended ratio is a comparison of three or more quantities by division.
- 15. An angle from the horizontal up to a line of sight. It is used to measure heights indirectly.
Down
- 1. In β³πππ, let a, b, and c represent the lengths of the sides opposite β π, β π, and β π, respectively. Then π’^π€=π£^π€+π€^π€βπ€π£π€ πΌπππ, π£^π€=π’^π€+π€^π€βπ€π’π€ πΌπππ, and π€^π€=π’^π€+π£^π€βπ€π’π£ πΌπππ.
- 2. The ratios of the sides of a right triangle
- 3. a branch of geometry that studies the relationships between the sides and angles of triangles, particularly right-angled triangles, using trigonometric functions like sine, cosine, and tangent.
- 4. In any right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse: π’^π€+π£^π€=π€^π€.
- 5. An angle from the horizontal down to a line of sight. It is used to measure heights indirectly.
- 6. If function f pairs a value b with a, then its inverse, denoted π§^βπ£, pairs the value a with b. If π§^βπ£ is also a function, then f and π§^βπ£ are inverse functions.
- 7. In a right triangle, Length of side adjacent to the angle/length of the hypotenuse.
- 8. In a right triangle, Length of side opposite to the angle/length of the hypotenuse.