Question

Find the length of side b in the right triangle below use the calculator to estimate the square root to one decimal place.

Answer 1

Explanation:

16.7

Answer 2

b = 16.7

Explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side b

Using Pythagoras theorem we have

a² = b² + c²

where

a is the hypotenuse

Substituting the values into the above formula we have

`{19}^(2) = {9}^(2) + {b}^(2) \\ {b}^(2) = {19}^(2) - {9}^(2) \\ {b} = \sqrt{ {19}^(2) - {9}^(2) } \\ b = √(361 - 81) \\ b = √(280) \\ \: \: \: \: \: \: b = 2 √(70) \: \: \: \: \: \: \\ \: \: \: \: \: \: \: b = 16.73320`

We have the final answer as

b = 16.7 to one decimal place

Hope this helps you