Question

arlos must provide one cut - out paper model of each acute, right, and obtuse. he sketches each triangle on ore making the models. what is the total area of the three triangles? 14 square units 13 square units 13.5 square units 12.5 square units

Explanation:

Step1: Calculate the area of the first triangle (acute triangle)

Use the formula for the area of a triangle \(A=\frac{1}{2}\times base\times height\).
Let's assume the base \(b = 4\) units and height \(h= 3\) units.
\(A_1=\frac{1}{2}\times4\times3 = 6\) square units.

Step2: Calculate the area of the second triangle (right - triangle)

For the right - triangle, if base \(b = 3\) units and height \(h = 3\) units.
\(A_2=\frac{1}{2}\times3\times3=4.5\) square units.

Step3: Calculate the area of the third triangle (obtuse triangle)

For the obtuse triangle, if base \(b = 3\) units and height \(h = 2\) units.
\(A_3=\frac{1}{2}\times3\times2 = 3\) square units.

Step4: Find the total area

\(A = A_1+A_2+A_3\)
\(A=6 + 4.5+3\)
\(A = 13.5\) square units.

Answer:

13.5 square units