Question

Dawn is making an abstract painting with two triangles. The dimensions of the painting are shown below: Two triangles share the same height of 8 inches. One triangle has a base of 8 inches and the other is 6 inches. The total area of the two triangles is _____ square inches. Numerical Answers Expected! Answer for Blank:

Answer 1

Area of triangle :
`(1)/(2) * base * height`

Here given that the height for both triangles is same:
`8` inches and bases differ by each:
`8` inches and
`6` inches.

Using the formula:

Area of both triangles:

`→ (1)/(2) * 8 * 8 + (1)/(2) * 6 * 8`

`→32 + 24`

`→56`

Answer :—
`56 \: inches ^(2)`

Answer 2

The total area of the two triangles is 56 inches²

Step-by-step explanation:

`\boxed{Area - of -triangle: (1)/(2) * base * height }`

Here given that the height for both triangles is same: 8 inches and bases differ by each: 8 inches and 6 inches.

using the formula:

area of both triangles:

`\boxed{(1)/(2) * 8 * 8 + (1)/(2) * 6 * 8}`

`\boxed{32 + 24}`

`\boxed{56}`