for a project, carlos must provide one cut - out paper model of each type of triangle: acute, right, and…

for a project, carlos must provide one cut - out paper model of each type of triangle: acute, right, and obtuse. he sketches each triangle on graph paper before making the models. what is the total area of the three triangles? 12.5 square units 13 square units 13.5 square units 14 square units

for a project, carlos must provide one cut - out paper model of each type of triangle: acute, right, and obtuse. he sketches each triangle on graph paper before making the models. what is the total area of the three triangles? 12.5 square units 13 square units 13.5 square units 14 square units

Answer

Answer:

13.5 square units

Explanation:

Step1: Recall triangle - area formula

$A=\frac{1}{2}bh$

Step2: Identify base and height for each triangle

For the first triangle: Assume base $b_1 = 3$ and height $h_1=2$, then $A_1=\frac{1}{2}\times3\times2 = 3$.

Step3: Calculate area of second triangle

Let base $b_2 = 3$ and height $h_2 = 3$, so $A_2=\frac{1}{2}\times3\times3=4.5$.

Step4: Calculate area of third triangle

Suppose base $b_3 = 4$ and height $h_3 = 3$, then $A_3=\frac{1}{2}\times4\times3 = 6$.

Step5: Find total area

$A = A_1+A_2+A_3=3 + 4.5+6=13.5$ square units.