Respuesta :

calculista

see the attached figure with letters to better understand the problem

we know that

The area of the triangle ABC is equal to the area of the right triangle ABD minus the area of the right triangle ACD

Find the area of the right triangle ABD

Area of the right triangle is equal to

[tex] A=\frac{b*h}{2} [/tex]

in this problem

[tex] b=3\ units \\ h=4\ units\\\\A=\frac{3*4}{2} \\\\ A=6\ units^{2} [/tex]

Find the area of the right triangle ACD

Area of the right triangle is equal to

[tex] A=\frac{b*h}{2} [/tex]

in this problem

[tex] b=3\ units \\ h=2\ units\\\\A=\frac{3*2}{2} \\\\ A=3\ units^{2} [/tex]

Find the area of the triangle ABC

The area of the triangle ABC is equal to the area of the right triangle ABD minus the area of the right triangle ACD

so

[tex] Area ABC=6-3=3\ units^{2} [/tex]

therefore

the answer is the option

3 square units

Ver imagen calculista

The area of triangle ABC will be 3 square units.

To find the are we first need to understand the formula for the area of triangle.

Given : Triangle ABC in the figure below,where

            b= 3 units

            h= 4 units

The area of the triangle ABC= The area of the right triangle ABD minus the area of the right triangle ACD

We will now, find the area of the right triangle ABD,

          [tex]\rm A= \dfrac{1}{2} \times b \times h\\\\A= \dfrac{1}{2}\times3 \times 4\\A= 6 units^2[/tex]

Similarly, we will find the area of the right angled triangle ACD

   

            [tex]\rm A= \dfrac{1}{2} \times3 \times 2\\\\A=3 units^2[/tex]

           

Now we will find the Area of the whole triangle ABC

  [tex]\rm Area \;of\;triangle\;ABC= 6-3=3 units^2[/tex]

Therefore, The area of triangle ABC will be 3 square units.

Learn more about area of triangle here: https://brainly.com/question/4075559

Ver imagen keshavgandhi04

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