Daisy is making an abstract painting with two triangles. The dimensions of the painting are shown below:



The total area of the two triangles is _____ square inches.

Daisy is making an abstract painting with two triangles The dimensions of the painting are shown below The total area of the two triangles is square inches class=

Respuesta :

Triangle area formula= bh/2

Blue triangle:
10*12/2= 60

Orange triangle:
8*10/2= 40

Add the values: 40+60= 100 in^2

Final answer: 100 in^2

Answer:

The total area of the two triangles is 100 square inches.

Step-by-step explanation:

We know that the area of triangle is given by the formula:

[tex]Area=\dfrac{1}{2}bh[/tex]

where b is the base of the triangle and h is the height of the triangle.

The triangle which is shaded blue:

Has a base(b)=12 in.

and height(h)=10 in.

Hence, Area of blue triangle is:

[tex]Area=\dfrac{1}{2}\times 12\times 10\\\\\\Area=60\ square\ in.[/tex]

and the Triangle which is shaded orange has base(b)=8 in.

and Height(h)=10 in.

Hence, the area of orange shaded triangle is:

[tex]Area=\dfrac{1}{2}\times 8\times 10\\\\\\Area=40\ square\ in.[/tex]

Hence, the total area of two triangle is:

    60+40=100 square inches.