Hello!
To find the base length you use the Pythagorean Theorem

c is the slant height
a is half the base length
b is the height
Put in the values you know

Square the numbers

Add

Take the square root of both sides

Simplify

Hope this helps!
Answer:$90
Step-by-step explanation: 5x15=75
5x3=15+75=90
Their are 6 equilateral triangles in a regular hexagon:
The area of one triangle = (x²√3)/4, then:
1st answer: The area of the hexagon base: is 6 TIMES the area of one equilateral triangle [or, needed for 2nd, question, TOT AREA:(6x²√3)/4] = (3x²√3)/2] unit²
2nd answer: :
Volume of pyramid: (base area)(height)/3
Volume of pyramid: (3x²√3).(3x)/3 (because height = 3x, given)
Then Volume of pyramid= 3x³√3 unit³.
3 is the answer for the second question
and 6 for the 1st