The triangle ABC has an area of 120 square centimeters.
How to determine the area of a triangle
According to the image attached below the statement, we find a geometric system consisting in a triangle ABC, formed by two triangles AMB and AMC, where [tex]\overline {BM} \cong \overline {MC}[/tex] and M is the midpoint of line segment [tex]\overline {BC}[/tex]. Then, we find that triangles AMB and AMC are congruent by Side-Angle-Side theorem. Therefore, [tex]\overline {AB} \cong \overline {AC}[/tex].
We can determine the area of triangle ABC by means of following formula:
S = 0.5 · AC · BH
Where:
- S - Area of triangle ABC, in square centimeters.
- AC - Base, in centimeters.
- BH - Height, in centimeters.
If we know that AC = 20 cm and BH = 12 cm, then the area of triangle ABC is:
S = 0.5 · (20 cm) · (12 cm)
S = 120 cm²
The area of triangle ABC is equal to 120 square centimeters.
To learn more on areas of triangles: https://brainly.com/question/27701864
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