Sagot :
Answer:
1 .What is the radius of a circle whose area is 24.2 ft²?
Given:
Area = 24.2ft²
π = 3.1415
Required:
radius r
Solution:
A = πr²
24.2 = πr²
24.2/3.1415 = r²
r = √7.703326
r = 2.775 or 2.78ft
Answer:
radius = 2.78ft
2.What is the side of a square whose diagonal is 8 cm?
Given:
diagonal = 8cm
Required:
Side of the square
Solution:
the characteristic of the square is that all of its 4 sides are equal
by using Pythagorean theorem,
Let x be the side of the square
c² = a² + b²
8² = x² + x²
64 = 2x²
32 = x²
x = √32
x = 5.66cm
Answer:
side = 5.66cm
3. Find the side of an equilateral triangle whose altitude is 50 units?
Given:
altitude = 50 units
Required:
side of an equilateral triangle
Solution:
an equilateral triangle is a triangle with all of its sides are equal
by using Pythagorean theorem,
c² = a² + b²
x² = (x/2)² + 50²
x² = x²/4 + 2500
4x² = x² + 10000
3x² = 10000
x² = 10000/3
x² = 3,333.3333
x = √3,333.3333
x = 57.735 or 57.74 units
Answer:
side = 57.74 units
Step-by-step explanation: