Question

Cw 8.2 Pythagorean’s Theorem

Answer 1

Answer:

16. x = 15

17. x = 5

18. x = 34.2

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:

$a^2=b^2+c^2$

16. x = 15

$x = \sqrt {9^2+12^2}$

$x = \sqrt {81 + 144}$

$x = \sqrt {225}$

$x = 15$

17. x = 5

$13^2 = x^2 + 12^2$

$169 = x^2 + 144$

$x^2 = 196 - 144$

$\sqrt{x^2} =\sqrt{25}$

$x=5$

18. x = 34.2

$x= \sqrt{12^2+32^2}$

$x=\sqrt{144+1024}$

$x=\sqrt{1168}$

$x=34.2$