This question is not complete because it lacks the attached diagram of the triangular prism and the options were not written correctly.
Find attached to this answer the appropriate diagram.
Complete Question
Which could be the area of the base of the triangular prism?
[Not drawn to scale)
• 6 ft²
• 10 ft²
• 12 ft²
• 20 ft²
Answer:
6ft²
Step-by-step explanation:
The formula for the base area of a triangular prism is given as:
Area of the base = √s(s-a) (s-b) (s-c)
Where s = (a+b+c)/2
From the attached diagram,
a = 5ft
b = 3ft
c = 4ft
s= (5ft + 3ft + 4ft) ÷ 2
s = 6ft
Area of the base = √ 6( 6-5) (6-3) (6-4)
= √6(1)(3)(2)
= √36
= 6ft²
Therefore, the area of the base of the triangular prism is 6ft²
