Question

Cw 8.1 The Pythagorean’s Theorem

Answer 1

a^2 + b^2 = c^2

Explanation:

use a and b as the legs and c as the hypotenuse. plug the numbers in and solve the equation using algebra.

Answer 2

In figure 1 , x= 13

In figure 1 , x= 9

In figure 1 , x= 34.176

Explanation:

The Pythagorean’s Theorem

Hypotenuse² = Base² + Height²

Find the 'x' of 1st figure

From the first figure, we get

x is the hypotenuse, then

x² = 12² + 9² = 144 + 25 =169

Therefore x = √169 = 13

Find the 'x' of 2ndfigure

In the 2nd figure 'x' is the height

13² = x² + 12²

x² =13² - 12² = 169 - 144 = 25

x = 5

Find the 'x' of 3rdfigure

In the 3rd figure,'x' is the hypotenuse

x²= 12² + 32² = 144 + 1024 = 1168

x =√1168 = 34.176