Answered

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.

Verified Answer :

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:

\(10\ units^{2}\)

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

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

View image calculista

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