Question

What is the area of the triangle whose vertices are L(4, −6)L(4, −6) , M(9, −6)M(9, −6) , and N(6, −2)N(6, −2) ? Enter your answer in the box.

Answer 1

The correct answer is 10.

This is the step in how to get the answer.

Step 1. Get the distance from L to M, M to N and N to L. In this way, we were be able to get the length, which can be used in solving the area of the triangle.

Step 2. Use the formula of area of a triangle, which is (1/2) * base * height. Once done, then you got the area of a triangle.

So, the area is 10 square units.

Answer 2

Answer:

$10\ units^{2}$

Step-by-step explanation:

we have

$L(4,-6), M(9,-6),N(6,-2)$    

Using a graphing tool  

Plot the points

see the attached figure

Remember that

The area of a triangle is equal to

$A=\frac{1}{2}bh$

In this problem we have

$b=LM=(9-4)=5\ units$

$h=NO=(6-2)=4\ units$

substitute

$A=\frac{1}{2}*5*4=10\ units^{2}$