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

`10\ units^(2)`

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=(1)/(2)bh`

In this problem we have

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

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

substitute

`A=(1)/(2)*5*4=10\ units^(2)`

Answer 2

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.