Answer:
A = 48 cm²
Step-by-step explanation:
First, we can find the height by using the Pythagorean Theorem because the altitude →falls perpendicular on the base so it forms a right triangle and →is bisecting the base splitting it in two 6 cm parts.
10 ² = h ² + 6², subtract 6² from both sides
10² -6² = h², square-root both sides
√100 -36 = h , combine like terms
√64 = h
8 = h
Second, find the area of the triangle.
A = B ·h /2 = 12 ·8 /2 = 48 cm²
