To find the area of the triangle, find the length of base and perpendicular height.
Here already given the base is 16 units.
Find perpendicular height by using
Pythagoras Theorem:
a² + b² = c²
h² + 8² = 10²
h² = 100 - 64
h² = 36
h = √36 = 6 units
Now area of triangle:
1/2 * base * perpendicular height
1/2 * 16 * 6
48 units²
Hence, the statement is true.