An equilateral triangle has all side lengths the same, and all angles are 60 degrees. Using this we can split the triangle along its altitude to get two right triangles with a hypotenuse of length 10 and a base of 1/2 of the original length, so 5. Now we can either use the Pythagorean theorem (a^2+b^2=c^2) or the fact that it is a 30 60 90 triangle (angles measure at 30 60 and 90 degrees) Pythagorean theorem is probably easier.
It stated that the squares of the two legs of a right triangle add to the square of the hypotenuse. So a(the altitude)^2+5(the base)^2=10(the hypotenuse)^2
A^2+5^2=10^2
A^2+25=100
A^2=75
A=sqrt(75)
A=5*sqrt(3)
Final answer:
The altitude of an equilateral triangle with side length 10 is 5sqrt(3), or about 8.66
Answer:
25000(1-.14)^t
Step-by-step explanation:
it's just a simple decreasing equation it's your start number 1 minus your percentage because we're decreasing and to the power of t which equals time
Answer:
Step-by-step explanation:
Width = x
Length = 2x
Area of the ground = 0.125 square mile
length * width = 0.125
2x * x = 0.125
2x² = 0.125
x² = 
= 0.0625
Width = 0.25 miles
Length = 2* 0.25 = 0.50 miles
Answer:
-2
Step-by-step explanation:
it goes down 2
