Question

What is the approximate length of midsegment MN? What is the approximate length of AB?
A) 1.4; 2.8
B) 2.1; 4.2
C) 2.5; 3.0
D) 2.8; 1.4

Answer 1

I got A as  the answer..................

Answer 2

Answer:

A) 1.4; 2.8

Step-by-step explanation:

We have been given an image of a triangle on coordinate plane and we are asked to find the length of mid-segment MN and segment AB.

First of all, we will find the length of MN using distance formula.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$D_{MN}=\sqrt{(5-4)^2+(2-1)^2}$

$D_{MN}=\sqrt{(1)^2+(1)^2}$

$D_{MN}=\sqrt{1+1}$

$D_{MN}=\sqrt{2}$

$D_{MN}=1.41421356\aaprox 1.4$

Therefore, the length of MN is approximately 1.4 units.

We know that length of mid-segment connecting two sides of a triangle is half the length of third side of the triangle.

To find the length of AB, we will multiply length of mid-segment MN by 2.

$\text{Length of AB}=1.41421356\times 2$

$\text{Length of AB}=2.8284\approx 2.8$

Therefore, the length of AB is approximately 2.8 units and option A is the correct choice.