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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.

Respuesta :

Hagrid
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.
calculista

Answer:

[tex]10\ units^{2}[/tex]

Step-by-step explanation:

we have

[tex]L(4,-6), M(9,-6),N(6,-2)[/tex]    

Using a graphing tool  

Plot the points

see the attached figure

Remember that

The area of a triangle is equal to

[tex]A=\frac{1}{2}bh[/tex]

In this problem we have

[tex]b=LM=(9-4)=5\ units[/tex]

[tex]h=NO=(6-2)=4\ units[/tex]

substitute

[tex]A=\frac{1}{2}*5*4=10\ units^{2}[/tex]

Ver imagen calculista

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