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

$25^2=x^2+12.5^2$

$\sqrt{x^2} =\sqrt{468.75}$

$x^2=25^2-12.5^2$

$x=21.65$

20. x = 8.06

$9^2=x^2+4^2$

$x^2=9^2-4^2$

$\sqrt{x^2} =\sqrt{65}$

$x=8.06$

21. x = 34.01

$x=\sqrt{14^2+31^2}$

$x=\sqrt{1157}$

$x=34.01$

22. x = 13

$x=\sqrt{5^2+12^2}$

$x=\sqrt{169}$

$x=13$

23. x = 6

$10^2=x^2+8^2$

$x^2=10^2-8^2$

$\sqrt{x^2} =\sqrt{36}$

$x=6$

24. x = 16

$20^2=x^2+12^2$

$x^2=20^2-12^2$

$\sqrt{x^2} =\sqrt{256}$

$x=16$

25. x = 60

$65^2=x^2+25^2$

$x^2=65^2-25^2$

$\sqrt{x^2} =\sqrt{3600}$

$x=60$

26. x = 32

$40^2=x^2+24^2$

$x^2=40^2-24^2$

$\sqrt{x^2} =\sqrt{1024}$

$x=32$

27. x = 14

$50^2=x^2+48^2$

$x^2=50^2-48^2$

$\sqrt{x^2} =\sqrt{196}$

$x=14$