Dawn 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.

Question

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

<img src="https://api.agilixbuzz.com/Resz/~0.T8Nrn8Ouan81vx1I.N4Q1NAbUDsTb7A2HCG8EqwOIHYeCZagodXhPD4JVc-U/148306779,44E,0,2,11A/Assets/84703_55085017/05_01_09.jpg" alt="Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches."/>
The total area of the two triangles is 
 square inches.

AZ · Answer

First, find the area of each triangle and then we add it up to get the total area of the two triangles

The first triangle has a base of 6 inches and a height of 8

Area of a triangle = 1/2 * base * height

what is the area of this triangle?

rxcklesskaisher · Answer

48

AZ · Answer

No, remember that it's 1/2 * base * height

so what is

1/2 * 6 * 8 =

rxcklesskaisher · Answer

24

AZ · Answer

wait, my apologies, the height is 10

so what is

1/2 * 6 * 10 =

rxcklesskaisher · Answer

30

AZ · Answer

Good!

Now let's find the area of the other triangle

the base is 8
the height is 10

Area = 1/2 * base * height

Area = ?

rxcklesskaisher · Answer

30

AZ · Answer

No, we have new numbers for the OTHER triangle

base = 8
height = 10

area = 1/2 * 8 * 10

area = ??

rxcklesskaisher · Answer

40

AZ · Answer

Good

So what is the area of both triangles? Just add them up

30 + 40 = ?

rxcklesskaisher · Answer

70

AZ · Answer

and so that's the total area of the two triangles