Δ

X

Y

Z
and
Δ

A

B

C
are similar triangles. Given the dimensions shown in the diagram, what is the area of
Δ

A

B

C
? Express the answer in square units.

Δ X Y Z and Δ A B C are similar triangles Given the dimensions shown in the diagram what is the area of Δ A B C Express the answer in square units class=

Respuesta :

Answer:

3.528

Step-by-step explanation:

the scale factor from the large triangle to the smaller triangle is 1/2.  All of the side lengths of the small triangle is 1/2 the side lengths of the large triangle.

A = 1/2 (bh)  The area of a triangle.  I need to know the base and the height of the little triangle to figure out the area.  If I use AC as the base, the length is given to me.  It is 4.2.  I do not have the height of the base, but I know that it is half of the height of the large triangle and that number is given to me.  It is 3.36, if I divide that by 2, I get 1.68.  Now I know all that I need to find the area.

A = 1/2(4.2)(1.68)

3.528Units^2