Find the area. The figures are not drawn to scale.
An obtuse triangle is shown.• The shortest side of the obtuse triangle, which runs horizontally at the bottom of the figure is labeled 6.9 centimeters.
• A second side extends up and to the right from the right end of the shortest side.
• A third side extends up and to the right from the left end of the shortest side, meeting the second side at vertex at the top of the figure.
• A vertical dashed line segment extends from the upper vertex to a dashed line segment that extends to the right from the shortest side at the bottom of the figure.
• A small square is located at the intersection of the two dashed line segments.
• The vertical dashed line segment is labeled 4 centimeters.
(1 point)
Responses
13.8 cm2
13.8 cm 2
10.9 cm2
10.9 cm 2
27.6 cm2
27.6 cm 2
55.2 cm2
To find the area of the triangle, we need to use the formula for the area of a triangle: Area = 0.5 * base * height.
In this case, the base of the triangle is the shortest side, which is 6.9 cm.
The height of the triangle is the vertical dashed line segment, which is 4 cm.
Area = 0.5 * 6.9 * 4
Area = 0.5 * 27.6
Area = 13.8 cm^2
Therefore, the area of the obtuse triangle is 13.8 cm^2.
So the correct answer is: 13.8 cm^2.