Question

Cw 8.2 Th Pythagorean’s Theorem

Answer 1

Answer with Step-by-step explanation:

We are given right angled triangles so using the Pythagoras Theorem to find the length of the unknown side for each triangle:

19. x=21.65

`25^2=x^2+12.5^2`

`√(x^2) =√(468.75)`

`x^2=25^2-12.5^2`

`x=21.65`

20. x = 8.06

`9^2=x^2+4^2`

`x^2=9^2-4^2`

`√(x^2) =√(65)`

`x=8.06`

21. x = 34.01

`x=√(14^2+31^2)`

`x=√(1157)`

`x=34.01`

22. x = 13

`x=√(5^2+12^2)`

`x=√(169)`

`x=13`

23. x = 6

`10^2=x^2+8^2`

`x^2=10^2-8^2`

`√(x^2) =√(36)`

`x=6`

24. x = 16

`20^2=x^2+12^2`

`x^2=20^2-12^2`

`√(x^2) =√(256)`

`x=16`

25. x = 60

`65^2=x^2+25^2`

`x^2=65^2-25^2`

`√(x^2) =√(3600)`

`x=60`

26. x = 32

`40^2=x^2+24^2`

`x^2=40^2-24^2`

`√(x^2) =√(1024)`

`x=32`

27. x = 14

`50^2=x^2+48^2`

`x^2=50^2-48^2`

`√(x^2) =√(196)`

`x=14`