Debbie 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 6 inches and the other is 10 inches.


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

Verified Answer :

The surface of the triangle count formula
A = bh1/2
A - area
b - base
c - height
The first triangle
A
₁ = b₁h = 6in 8in 1/2= 24in²

The second triangle
A₂ b₂
h = 10in 8in1/2 = 40in²

The total area of the two triangles is 24in² + 40in² = 64 square inches

Debbie's abstract painting are two in numbers both having the same height. since we know the area of a triangle to be

Area = 1/2BaseHeight

Total area =Area of  Triangle A+ Area of  Triangle B

= 24+40

=64 square inches

Given data

Both Triangles share the same height = 8 inches

For Triangle A

Base = 6 inches

Area = 1/2 BaseHeight

Area = 1/286

Area = 24 square inches

For Triangle B

Base = 10 inches

Area = 1/2 BaseHeight

Area = 1/2810

Area = 40 square inches

Total = 24+40

Total = 64 square inches

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