Answer:
b = 16.7
Step-by-step 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
[tex] {19}^{2} = {9}^{2} + {b}^{2} \\ {b}^{2} = {19}^{2} - {9}^{2} \\ {b} = \sqrt{ {19}^{2} - {9}^{2} } \\ b = \sqrt{361 - 81} \\ b = \sqrt{280} \\ \: \: \: \: \: \: b = 2 \sqrt{70} \: \: \: \: \: \: \\ \: \: \: \: \: \: \: b = 16.73320[/tex]
We have the final answer as
b = 16.7 to one decimal place
Hope this helps you
