Question #44042

ABC is a triangle in which AB=AC=4 cm and angle A=90 degrees. Calculate the area of triangle ABC.

Expert's answer

Answer on Question #44042 – Math – Geometry

ABC is a triangle in which AB=AC=4 cm and angle A=90 degrees. Calculate the area of triangle ABC.


Solution

The Area of triangle ABC is calculated by the following formula:


SΔABC=12ACAB=12×4cm×4cm=162cm2=8(cm2)S _ {\Delta A B C} = \frac {1}{2} | A C | \cdot | A B | = \frac {1}{2} \times 4 \, \text{cm} \times 4 \, \text{cm} = \frac {16}{2} \, \text{cm}^2 = 8 \, (\text{cm}^2)


Answer: 8 cm².

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