Question

05.05)On the coordinate plane below, what is the length of AB?

Answer 1

Answer:

Therefore the length of AB is 15 unit.

Step-by-step explanation:

Given:

A ≡ ( -7 , 4 ) ≡ (x₁ , y₁)

B ≡ ( 8 , 4 )  ≡ (x₂ , y₂)

C ≡ ( 8 , -3 )

D ≡ ( -7 , -3 )

To Find:

Length of AB =?

Solution:

Distance Formula between two points is given as

$l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}$

Substituting the values we get

$l(AB) = \sqrt{((8-(-7))^{2}+(4-4)^{2} )}\\l(AB) = \sqrt{((15))^{2}+(0)^{2} )}\\l(AB)=\sqrt{225}=15\ unit$

Therefore the length of AB is 15 unit.