Question

Find the distance between the following points using the Pythagorean theorem: (11, 9) and (-3, 11)

Answer 1

Correct Question :

Find the distance between the following points using the distance formula (11, 9) and (-3, 11)

AnsWer:

20 Units

Solution :

Let point be,

• A ( 11 , 9 )
• B ( -3 , 11 )

We need to find distance between point A and B.

Distance Formula

$\tt \dagger \: \: \: \: \: AB = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

Where as,

• x1 = 11
• x2 = -3
• y1 = 9
• y2 = 11

$\tt \mapsto AB = \sqrt{ {( - 3 - 11)}^{2} + {(11 - 9)}^{2} }$

$\tt \mapsto AB = \sqrt{ {( - 14)}^{2} + {(2)}^{2} }$

$\tt \mapsto AB = \sqrt{196 + 4}$

$\tt \mapsto AB = \sqrt{200}$

$\tt \mapsto AB =20 \: units.$

Therefore, the distance between point A and B is 20 Units.